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class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon 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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="in:493841" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span>&nbsp;</span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>&nbsp;&nbsp;</span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>&nbsp;&nbsp;</span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>&nbsp;&nbsp;</span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>&nbsp;&nbsp;</span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>&nbsp;&nbsp;</span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>&nbsp;&nbsp;</span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>&nbsp;&nbsp;</span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>&nbsp;&nbsp;</span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>&nbsp;&nbsp;</span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>&nbsp;&nbsp;</span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>&nbsp;&nbsp;</span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>&nbsp;&nbsp;</span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>&nbsp;&nbsp;</span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>&nbsp;&nbsp;</span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>&nbsp;&nbsp;</span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>&nbsp;&nbsp;</span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>&nbsp;&nbsp;</span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a&nbsp;<span class="item">&</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical and (default)</a></li> <li><a href="#"><span class="token">a&nbsp;<span class="item">|</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab&nbsp;&nbsp;&nbsp;</span><span>&nbsp;</span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>&nbsp;&nbsp;</span><span>&nbsp;</span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab&nbsp;c<span class="item">"</span></span><span>&nbsp;</span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab&nbsp;c<span class="item">)</span></span><span>&nbsp;</span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. Queries are <strong>case-independent</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Funct%2A">Funct*</a></span> <span class="search-explanation" role="cell"><strong>Wildcard</strong> queries are specified by <strong><u>*</u></strong> (e.g. <em>functions</em>, <em>functorial</em>, etc.). Otherwise the search is <strong>exact</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Topological+group%22">"Topological group"</a></span> <span class="search-explanation" role="cell"><strong>Phrases</strong> (multi-words) should be set in <u>"</u>straight quotation marks<u>"</u>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Bourbaki+%26+ti%3A+Algebra">au: Bourbaki &amp; ti: Algebra</a></span> <span class="search-explanation" role="cell">Search for <strong><u>au</u>thor</strong> and <strong><u>ti</u>tle</strong>. 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<a href="/authors/liu.jian.10" title="Author Profile">Liu, Jian</a>; <a href="/authors/chen.guanrong" title="Author Profile">Chen, Guanrong</a></div> <h3 class="title"> <a href="/1508.93122"><strong>Observer-based synchronization of time-delay complex-variable chaotic systems with complex parameters.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1508.93122">Zbl 1508.93122</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250197, 11 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A93B53" title="Observers">93B53</a> <a class="mono" href="/classification/?q=cc%3A34H10" title="Chaos control for problems involving ordinary differential equations">34H10</a> <a class="mono" href="/classification/?q=cc%3A93C43" title="Delay control/observation systems">93C43</a> <a class="mono" href="/classification/?q=cc%3A34K41" title="Functional-differential equations in the complex domain">34K41</a> <a class="mono" href="/classification/?q=cc%3A34K23" title="Complex (chaotic) behavior of solutions to functional-differential equations">34K23</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1508.93122" data-ciurl="/ci/07659578" data-biburl="/bibtex/07659578.bib" data-amsurl="/amsrefs/07659578.bib" data-xmlurl="/xml/07659578.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659578.pdf" title="Zbl 1508.93122 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501973" aria-label="DOI for “Observer-based synchronization of time-delay complex-variable chaotic systems with complex parameters”" title="10.1142/S0218348X22501973">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659577" value="7659577" aria-label="mark item Zbl 1515.34081"></div> <div class="author"><a href="/authors/iqbal.naveed-h" title="Author Profile">Iqbal, Naveed</a>; <a href="/authors/niazi.azmat-ullah-khan" title="Author Profile">Niazi, Azmat Ullah Khan</a>; <a href="/authors/khan.ikram-ullah" title="Author Profile">Khan, Ikram Ullah</a>; <a href="/authors/karaca.yeliz" title="Author Profile">Karaca, Yeliz</a></div> <h3 class="title"> <a href="/1515.34081"><strong>Non-autonomous fractional evolution equations with non-instantaneous impulse conditions of order \((1, 2)\): a Cauchy problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1515.34081">Zbl 1515.34081</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250196, 16 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34K37" title="Functional-differential equations with fractional derivatives">34K37</a> <a class="mono" href="/classification/?q=cc%3A34K30" title="Functional-differential equations in abstract spaces">34K30</a> <a class="mono" href="/classification/?q=cc%3A34K45" title="Functional-differential equations with impulses">34K45</a> <a class="mono" href="/classification/?q=cc%3A45J99" title="Integro-ordinary differential equations">45J99</a> <a class="mono" href="/classification/?q=cc%3A47N20" title="Applications of operator theory to differential and integral equations">47N20</a> <a class="mono" href="/classification/?q=cc%3A37C60" title="Nonautonomous smooth dynamical systems">37C60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1515.34081" data-ciurl="/ci/07659577" data-biburl="/bibtex/07659577.bib" data-amsurl="/amsrefs/07659577.bib" data-xmlurl="/xml/07659577.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659577.pdf" title="Zbl 1515.34081 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501961" aria-label="DOI for “Non-autonomous fractional evolution equations with non-instantaneous impulse conditions of order \((1, 2)\): a Cauchy problem”" title="10.1142/S0218348X22501961">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659576" value="7659576" aria-label="mark item Zbl 1509.05054"></div> <div class="author"><a href="/authors/zeng.qingcheng" title="Author Profile">Zeng, Qingcheng</a>; <a href="/authors/xi.lifeng" title="Author Profile">Xi, Lifeng</a></div> <h3 class="title"> <a href="/1509.05054"><strong>Zagreb eccentricity indices of Vicsek networks.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.05054">Zbl 1509.05054</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250195, 7 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C09" title="Graphical indices (Wiener index, Zagreb index, Randić index, etc.)">05C09</a> <a class="mono" href="/classification/?q=cc%3A05C92" title="Chemical graph theory">05C92</a> <a class="mono" href="/classification/?q=cc%3A92E10" title="Molecular structure (graph-theoretic methods, methods of differential topology, etc.)">92E10</a> <a class="mono" href="/classification/?q=cc%3A05C07" title="Vertex degrees">05C07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.05054" data-ciurl="/ci/07659576" data-biburl="/bibtex/07659576.bib" data-amsurl="/amsrefs/07659576.bib" data-xmlurl="/xml/07659576.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659576.pdf" title="Zbl 1509.05054 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X2250195X" aria-label="DOI for “Zagreb eccentricity indices of Vicsek networks”" title="10.1142/S0218348X2250195X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659574" value="7659574" aria-label="mark item Zbl 1509.35250"></div> <div class="author"><a href="/authors/wang.kangle" title="Author Profile">Wang, Kangle</a></div> <h3 class="title"> <a href="/1509.35250"><strong>Novel scheme for the fractal-fractional short water wave model with unsmooth boundaries.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.35250">Zbl 1509.35250</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250193, 10 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q35" title="PDEs in connection with fluid mechanics">35Q35</a> <a class="mono" href="/classification/?q=cc%3A35Q86" title="PDEs in connection with geophysics">35Q86</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> <a class="mono" href="/classification/?q=cc%3A35C08" title="Soliton solutions">35C08</a> <a class="mono" href="/classification/?q=cc%3A76S05" title="Flows in porous media; filtration; seepage">76S05</a> <a class="mono" href="/classification/?q=cc%3A86A05" title="Hydrology, hydrography, oceanography">86A05</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> <a class="mono" href="/classification/?q=cc%3A35R11" title="Fractional partial differential equations">35R11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.35250" data-ciurl="/ci/07659574" data-biburl="/bibtex/07659574.bib" data-amsurl="/amsrefs/07659574.bib" data-xmlurl="/xml/07659574.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659574.pdf" title="Zbl 1509.35250 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501936" aria-label="DOI for “Novel scheme for the fractal-fractional short water wave model with unsmooth boundaries”" title="10.1142/S0218348X22501936">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659573" value="7659573" aria-label="mark item Zbl 1509.35247"></div> <div class="author"><a href="/authors/wang.kang-jia" title="Author Profile">Wang, Kang-Jia</a></div> <h3 class="title"> <a href="/1509.35247"><strong>A fractal modification of the unsteady Korteweg-de Vries model and its generalized fractal variational principle and diverse exact solutions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.35247">Zbl 1509.35247</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250192, 8 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q35" title="PDEs in connection with fluid mechanics">35Q35</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> <a class="mono" href="/classification/?q=cc%3A35C05" title="Solutions to PDEs in closed form">35C05</a> <a class="mono" href="/classification/?q=cc%3A35C06" title="Self-similar solutions to PDEs">35C06</a> <a class="mono" href="/classification/?q=cc%3A76B15" title="Water waves, gravity waves; dispersion and scattering, nonlinear interaction">76B15</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.35247" data-ciurl="/ci/07659573" data-biburl="/bibtex/07659573.bib" data-amsurl="/amsrefs/07659573.bib" data-xmlurl="/xml/07659573.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659573.pdf" title="Zbl 1509.35247 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501924" aria-label="DOI for “A fractal modification of the unsteady Korteweg-de Vries model and its generalized fractal variational principle and diverse exact solutions”" title="10.1142/S0218348X22501924">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659571" value="7659571" aria-label="mark item Zbl 1509.35270"></div> <div class="author"><a href="/authors/wang.kang-jia" title="Author Profile">Wang, Kang-Jia</a></div> <h3 class="title"> <a href="/1509.35270"><strong>Bäcklund transformation and diverse exact explicit solutions of the fractal combined KdV-mKdV equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.35270">Zbl 1509.35270</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250189, 10 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35C05" title="Solutions to PDEs in closed form">35C05</a> <a class="mono" href="/classification/?q=cc%3A35C08" title="Soliton solutions">35C08</a> <a class="mono" href="/classification/?q=cc%3A35C07" title="Traveling wave solutions">35C07</a> <a class="mono" href="/classification/?q=cc%3A35C09" title="Trigonometric solutions to PDEs">35C09</a> <a class="mono" href="/classification/?q=cc%3A35B10" title="Periodic solutions to PDEs">35B10</a> <a class="mono" href="/classification/?q=cc%3A35K35" title="Initial-boundary value problems for higher-order parabolic equations">35K35</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.35270" data-ciurl="/ci/07659571" data-biburl="/bibtex/07659571.bib" data-amsurl="/amsrefs/07659571.bib" data-xmlurl="/xml/07659571.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659571.pdf" title="Zbl 1509.35270 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501894" aria-label="DOI for “Bäcklund transformation and diverse exact explicit solutions of the fractal combined KdV-mKdV equation”" title="10.1142/S0218348X22501894">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659570" value="7659570" aria-label="mark item Zbl 1509.35269"></div> <div class="author"><a href="/authors/sun.jianshe" title="Author Profile">Sun, Jianshe</a></div> <h3 class="title"> <a href="/1509.35269"><strong>An insight on The \((2+1)\)-Dimensional fractal nonlinear Boiti-Leon-Manna-Pempinelli equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.35269">Zbl 1509.35269</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250188, 9 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q53" title="KdV equations (Korteweg-de Vries equations)">35Q53</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> <a class="mono" href="/classification/?q=cc%3A35C08" title="Soliton solutions">35C08</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> <a class="mono" href="/classification/?q=cc%3A35R11" title="Fractional partial differential equations">35R11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.35269" data-ciurl="/ci/07659570" data-biburl="/bibtex/07659570.bib" data-amsurl="/amsrefs/07659570.bib" data-xmlurl="/xml/07659570.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659570.pdf" title="Zbl 1509.35269 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501882" aria-label="DOI for “An insight on The \((2+1)\)-Dimensional fractal nonlinear Boiti-Leon-Manna-Pempinelli equations”" title="10.1142/S0218348X22501882">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659568" value="7659568" aria-label="mark item Zbl 1528.28023"></div> <div class="author"><a href="/authors/kumar.mohit" title="Author Profile">Kumar, Mohit</a>; <a href="/authors/upadhye.neelesh-s" title="Author Profile">Upadhye, Neelesh S.</a>; <a href="/authors/chand.arya-kumar-bedabrata" title="Author Profile">Chand, A. K. B.</a></div> <h3 class="title"> <a href="/1528.28023"><strong>Linear fractal interpolation function for data set with random noise.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1528.28023">Zbl 1528.28023</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250186, 17 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A41A05" title="Interpolation in approximation theory">41A05</a> <a class="mono" href="/classification/?q=cc%3A65D05" title="Numerical interpolation">65D05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1528.28023" data-ciurl="/ci/07659568" data-biburl="/bibtex/07659568.bib" data-amsurl="/amsrefs/07659568.bib" data-xmlurl="/xml/07659568.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659568.pdf" title="Zbl 1528.28023 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501869" aria-label="DOI for “Linear fractal interpolation function for data set with random noise”" title="10.1142/S0218348X22501869">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659566" value="7659566" aria-label="mark item Zbl 1521.28005"></div> <div class="author"><a href="/authors/yang.jiaojiao" title="Author Profile">Yang, Jiaojiao</a>; <a href="/authors/li.yanzhe" title="Author Profile">Li, Yanzhe</a>; <a href="/authors/hu.ran" title="Author Profile">Hu, Ran</a></div> <h3 class="title"> <a href="/1521.28005"><strong>Lower dimension and spectrum of homogeneous perfect sets.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1521.28005">Zbl 1521.28005</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250184, 7 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A28A78" title="Hausdorff and packing measures">28A78</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1521.28005" data-ciurl="/ci/07659566" data-biburl="/bibtex/07659566.bib" data-amsurl="/amsrefs/07659566.bib" data-xmlurl="/xml/07659566.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659566.pdf" title="Zbl 1521.28005 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501845" aria-label="DOI for “Lower dimension and spectrum of homogeneous perfect sets”" title="10.1142/S0218348X22501845">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659565" value="7659565" aria-label="mark item Zbl 1512.93075"></div> <div class="author"><a href="/authors/shen.yunzhu" title="Author Profile">Shen, Yunzhu</a>; <a href="/authors/tang.wei.2" title="Author Profile">Tang, Wei</a>; <a href="/authors/liu.yungang" title="Author Profile">Liu, Yungang</a></div> <h3 class="title"> <a href="/1512.93075"><strong>Tuning of IMC controller for systems with time-delay using an improved strange nonchaotic optimization approach.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1512.93075">Zbl 1512.93075</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250183, 11 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A93C43" title="Delay control/observation systems">93C43</a> <a class="mono" href="/classification/?q=cc%3A90C90" title="Applications of mathematical programming">90C90</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1512.93075" data-ciurl="/ci/07659565" data-biburl="/bibtex/07659565.bib" data-amsurl="/amsrefs/07659565.bib" data-xmlurl="/xml/07659565.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659565.pdf" title="Zbl 1512.93075 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501833" aria-label="DOI for “Tuning of IMC controller for systems with time-delay using an improved strange nonchaotic optimization approach”" title="10.1142/S0218348X22501833">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659563" value="7659563" aria-label="mark item Zbl 1509.05049"></div> <div class="author"><a href="/authors/cui.keqin" title="Author Profile">Cui, Keqin</a>; <a href="/authors/xi.lifeng" title="Author Profile">Xi, Lifeng</a></div> <h3 class="title"> <a href="/1509.05049"><strong>The hyper-Wiener indices of Vicsek networks.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.05049">Zbl 1509.05049</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250181, 7 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C09" title="Graphical indices (Wiener index, Zagreb index, Randić index, etc.)">05C09</a> <a class="mono" href="/classification/?q=cc%3A05C12" title="Distance in graphs">05C12</a> <a class="mono" href="/classification/?q=cc%3A05C92" title="Chemical graph theory">05C92</a> <a class="mono" href="/classification/?q=cc%3A92E10" title="Molecular structure (graph-theoretic methods, methods of differential topology, etc.)">92E10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.05049" data-ciurl="/ci/07659563" data-biburl="/bibtex/07659563.bib" data-amsurl="/amsrefs/07659563.bib" data-xmlurl="/xml/07659563.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659563.pdf" title="Zbl 1509.05049 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X2250181X" aria-label="DOI for “The hyper-Wiener indices of Vicsek networks”" title="10.1142/S0218348X2250181X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659562" value="7659562" aria-label="mark item Zbl 1509.80004"></div> <div class="author"><a href="/authors/han.qun" title="Author Profile">Han, Qun</a>; <a href="/authors/zhang.chengbin" title="Author Profile">Zhang, Chengbin</a>; <a href="/authors/chen.yongping" title="Author Profile">Chen, Yongping</a></div> <h3 class="title"> <a href="/1509.80004"><strong>Melting heat transfer improvement by venation-finned porous networks.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.80004">Zbl 1509.80004</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250180, 19 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A80A22" title="Stefan problems, phase changes, etc.">80A22</a> <a class="mono" href="/classification/?q=cc%3A80A19" title="Diffusive and convective heat and mass transfer, heat flow">80A19</a> <a class="mono" href="/classification/?q=cc%3A74F05" title="Thermal effects in solid mechanics">74F05</a> <a class="mono" href="/classification/?q=cc%3A52C20" title="Tilings in \(2\) dimensions (aspects of discrete geometry)">52C20</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A76S05" title="Flows in porous media; filtration; seepage">76S05</a> <a class="mono" href="/classification/?q=cc%3A76M28" title="Particle methods and lattice-gas methods">76M28</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.80004" data-ciurl="/ci/07659562" data-biburl="/bibtex/07659562.bib" data-amsurl="/amsrefs/07659562.bib" data-xmlurl="/xml/07659562.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659562.pdf" title="Zbl 1509.80004 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501808" aria-label="DOI for “Melting heat transfer improvement by venation-finned porous networks”" title="10.1142/S0218348X22501808">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659561" value="7659561" aria-label="mark item Zbl 1509.35299"></div> <div class="author"><a href="/authors/zhang.lihua" title="Author Profile">Zhang, Lihua</a>; <a href="/authors/wang.zhenli" title="Author Profile">Wang, Zhenli</a>; <a href="/authors/shen.bo" title="Author Profile">Shen, Bo</a></div> <h3 class="title"> <a href="/1509.35299"><strong>Fractional complex transforms, reduced equations and exact solutions of the fractional Kraenkel-Manna-Merle system.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.35299">Zbl 1509.35299</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250179, 15 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q60" title="PDEs in connection with optics and electromagnetic theory">35Q60</a> <a class="mono" href="/classification/?q=cc%3A78A55" title="Technical applications of optics and electromagnetic theory">78A55</a> <a class="mono" href="/classification/?q=cc%3A35C05" title="Solutions to PDEs in closed form">35C05</a> <a class="mono" href="/classification/?q=cc%3A35C08" title="Soliton solutions">35C08</a> <a class="mono" href="/classification/?q=cc%3A35C09" title="Trigonometric solutions to PDEs">35C09</a> <a class="mono" href="/classification/?q=cc%3A35A24" title="Methods of ordinary differential equations applied to PDEs">35A24</a> <a class="mono" href="/classification/?q=cc%3A34B30" title="Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)">34B30</a> <a class="mono" href="/classification/?q=cc%3A33E05" title="Elliptic functions and integrals">33E05</a> <a class="mono" href="/classification/?q=cc%3A17B81" title="Applications of Lie (super)algebras to physics, etc.">17B81</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> <a class="mono" href="/classification/?q=cc%3A35R11" title="Fractional partial differential equations">35R11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.35299" data-ciurl="/ci/07659561" data-biburl="/bibtex/07659561.bib" data-amsurl="/amsrefs/07659561.bib" data-xmlurl="/xml/07659561.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659561.pdf" title="Zbl 1509.35299 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501791" aria-label="DOI for “Fractional complex transforms, reduced equations and exact solutions of the fractional Kraenkel-Manna-Merle system”" title="10.1142/S0218348X22501791">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659560" value="7659560" aria-label="mark item Zbl 1541.76087"></div> <div class="author"><a href="/authors/santos-moreno.m" title="Author Profile">Santos-Moreno, M.</a>; <a href="/authors/valencia-negrete.carla-victoria" title="Author Profile">Valencia-Negrete, C. V.</a>; <a href="/authors/fernandez-anaya.guillermo" title="Author Profile">Fernández-Anaya, G.</a></div> <h3 class="title"> <a href="/1541.76087"><strong>Conformable derivatives in viscous flow describing fluid through porous medium with variable permeability.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1541.76087">Zbl 1541.76087</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250178, 18 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A76S05" title="Flows in porous media; filtration; seepage">76S05</a> <a class="mono" href="/classification/?q=cc%3A76D05" title="Navier-Stokes equations for incompressible viscous fluids">76D05</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1541.76087" data-ciurl="/ci/07659560" data-biburl="/bibtex/07659560.bib" data-amsurl="/amsrefs/07659560.bib" data-xmlurl="/xml/07659560.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659560.pdf" title="Zbl 1541.76087 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X2250178X" aria-label="DOI for “Conformable derivatives in viscous flow describing fluid through porous medium with variable permeability”" title="10.1142/S0218348X2250178X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659558" value="7659558" aria-label="mark item Zbl 1516.76074"></div> <div class="author"><a href="/authors/gao.jun" title="Author Profile">Gao, Jun</a>; <a href="/authors/xiao.boqi" title="Author Profile">Xiao, Boqi</a>; <a href="/authors/tu.biliang" title="Author Profile">Tu, Biliang</a>; <a href="/authors/chen.fengye" title="Author Profile">Chen, Fengye</a>; <a href="/authors/liu.yonghui.1" title="Author Profile">Liu, Yonghui</a></div> <h3 class="title"> <a href="/1516.76074"><strong>A fractal model for gas diffusion in dry and wet fibrous media with tortuous converging-diverging capillary bundle.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1516.76074">Zbl 1516.76074</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250176, 10 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A76R50" title="Diffusion">76R50</a> <a class="mono" href="/classification/?q=cc%3A76S05" title="Flows in porous media; filtration; seepage">76S05</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1516.76074" data-ciurl="/ci/07659558" data-biburl="/bibtex/07659558.bib" data-amsurl="/amsrefs/07659558.bib" data-xmlurl="/xml/07659558.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659558.pdf" title="Zbl 1516.76074 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501766" aria-label="DOI for “A fractal model for gas diffusion in dry and wet fibrous media with tortuous converging-diverging capillary bundle”" title="10.1142/S0218348X22501766">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659557" value="7659557" aria-label="mark item Zbl 1509.35251"></div> <div class="author"><a href="/authors/wang.kangle" title="Author Profile">Wang, Kangle</a>; <a href="/authors/wei.chunfu" title="Author Profile">Wei, Chunfu</a>; <a href="/authors/ren.feng" title="Author Profile">Ren, Feng</a></div> <h3 class="title"> <a href="/1509.35251"><strong>New properties of the fractal Boussinesq-Kadomtsev-Petviashvili-like equation with unsmooth boundaries.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.35251">Zbl 1509.35251</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250175, 9 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q35" title="PDEs in connection with fluid mechanics">35Q35</a> <a class="mono" href="/classification/?q=cc%3A76B15" title="Water waves, gravity waves; dispersion and scattering, nonlinear interaction">76B15</a> <a class="mono" href="/classification/?q=cc%3A35A24" title="Methods of ordinary differential equations applied to PDEs">35A24</a> <a class="mono" href="/classification/?q=cc%3A35C07" title="Traveling wave solutions">35C07</a> <a class="mono" href="/classification/?q=cc%3A35C08" title="Soliton solutions">35C08</a> <a class="mono" href="/classification/?q=cc%3A37K35" title="Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems">37K35</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> <a class="mono" href="/classification/?q=cc%3A35R11" title="Fractional partial differential equations">35R11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.35251" data-ciurl="/ci/07659557" data-biburl="/bibtex/07659557.bib" data-amsurl="/amsrefs/07659557.bib" data-xmlurl="/xml/07659557.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659557.pdf" title="Zbl 1509.35251 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501754" aria-label="DOI for “New properties of the fractal Boussinesq-Kadomtsev-Petviashvili-like equation with unsmooth boundaries”" title="10.1142/S0218348X22501754">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659556" value="7659556" aria-label="mark item Zbl 1515.34028"></div> <div class="author"><a href="/authors/elias-zuniga.alex" title="Author Profile">Elías-Zúñiga, Alex</a>; <a href="/authors/martinez-romero.oscar" title="Author Profile">Martínez-Romero, Oscar</a>; <a href="/authors/olvera-trejo.daniel" title="Author Profile">Olvera Trejo, Daniel</a>; <a href="/authors/palacios-pineda.luis-manuel" title="Author Profile">Palacios-Pineda, Luis Manuel</a></div> <h3 class="title"> <a href="/1515.34028"><strong>Analysis of a damped fractal system using the ancient Chinese algorithm and the two-scale fractal dimension transform.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1515.34028">Zbl 1515.34028</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250173, 8 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A34A45" title="Theoretical approximation of solutions to ordinary differential equations">34A45</a> <a class="mono" href="/classification/?q=cc%3A34A08" title="Fractional ordinary differential equations">34A08</a> <a class="mono" href="/classification/?q=cc%3A37C60" title="Nonautonomous smooth dynamical systems">37C60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1515.34028" data-ciurl="/ci/07659556" data-biburl="/bibtex/07659556.bib" data-amsurl="/amsrefs/07659556.bib" data-xmlurl="/xml/07659556.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659556.pdf" title="Zbl 1515.34028 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501730" aria-label="DOI for “Analysis of a damped fractal system using the ancient Chinese algorithm and the two-scale fractal dimension transform”" title="10.1142/S0218348X22501730">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659555" value="7659555" aria-label="mark item Zbl 1516.76020"></div> <div class="author"><a href="/authors/kou.shuai-jia" title="Author Profile">Kou, Shuai-Jia</a>; <a href="/authors/he.chun-hui" title="Author Profile">He, Chun-Hui</a>; <a href="/authors/men.xing-chen" title="Author Profile">Men, Xing-Chen</a>; <a href="/authors/he.ji-huan" title="Author Profile">He, Ji-Huan</a></div> <h3 class="title"> <a href="/1516.76020"><strong>Fractal boundary layer and its basic properties.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1516.76020">Zbl 1516.76020</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250172, 9 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A76D10" title="Boundary-layer theory, separation and reattachment, higher-order effects">76D10</a> <a class="mono" href="/classification/?q=cc%3A76M30" title="Variational methods applied to problems in fluid mechanics">76M30</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A86A05" title="Hydrology, hydrography, oceanography">86A05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1516.76020" data-ciurl="/ci/07659555" data-biburl="/bibtex/07659555.bib" data-amsurl="/amsrefs/07659555.bib" data-xmlurl="/xml/07659555.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659555.pdf" title="Zbl 1516.76020 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501729" aria-label="DOI for “Fractal boundary layer and its basic properties”" title="10.1142/S0218348X22501729">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659554" value="7659554" aria-label="mark item Zbl 1510.35103"></div> <div class="author"><a href="/authors/wang.kangle" title="Author Profile">Wang, Kangle</a></div> <h3 class="title"> <a href="/1510.35103"><strong>Fractal traveling wave solutions for the fractal-fractional Ablowitz-Kaup-Newell-Segur model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1510.35103">Zbl 1510.35103</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250171, 9 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35C07" title="Traveling wave solutions">35C07</a> <a class="mono" href="/classification/?q=cc%3A35R11" title="Fractional partial differential equations">35R11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1510.35103" data-ciurl="/ci/07659554" data-biburl="/bibtex/07659554.bib" data-amsurl="/amsrefs/07659554.bib" data-xmlurl="/xml/07659554.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659554.pdf" title="Zbl 1510.35103 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501717" aria-label="DOI for “Fractal traveling wave solutions for the fractal-fractional Ablowitz-Kaup-Newell-Segur model”" title="10.1142/S0218348X22501717">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659553" value="7659553" aria-label="mark item Zbl 1509.35249"></div> <div class="author"><a href="/authors/wang.kangle" title="Author Profile">Wang, Kangle</a></div> <h3 class="title"> <a href="/1509.35249"><strong>Novel traveling wave solutions for the fractal Zakharov-Kuznetsov-Benjamin-Bona-Mahony model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.35249">Zbl 1509.35249</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250170, 10 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q35" title="PDEs in connection with fluid mechanics">35Q35</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> <a class="mono" href="/classification/?q=cc%3A35C09" title="Trigonometric solutions to PDEs">35C09</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> <a class="mono" href="/classification/?q=cc%3A26A33" title="Fractional derivatives and integrals">26A33</a> <a class="mono" href="/classification/?q=cc%3A35R11" title="Fractional partial differential equations">35R11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.35249" data-ciurl="/ci/07659553" data-biburl="/bibtex/07659553.bib" data-amsurl="/amsrefs/07659553.bib" data-xmlurl="/xml/07659553.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659553.pdf" title="Zbl 1509.35249 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501705" aria-label="DOI for “Novel traveling wave solutions for the fractal Zakharov-Kuznetsov-Benjamin-Bona-Mahony model”" title="10.1142/S0218348X22501705">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659552" value="7659552" aria-label="mark item Zbl 1528.28026"></div> <div class="author"><a href="/authors/taylor.tara-d" title="Author Profile">Taylor, T. D.</a>; <a href="/authors/rouse.s.1" title="Author Profile">Rouse, S.</a></div> <h3 class="title"> <a href="/1528.28026"><strong>Bar-codes of Sierpiński relatives with triangle convex hulls.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1528.28026">Zbl 1528.28026</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250169, 17 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1528.28026" data-ciurl="/ci/07659552" data-biburl="/bibtex/07659552.bib" data-amsurl="/amsrefs/07659552.bib" data-xmlurl="/xml/07659552.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659552.pdf" title="Zbl 1528.28026 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501699" aria-label="DOI for “Bar-codes of Sierpiński relatives with triangle convex hulls”" title="10.1142/S0218348X22501699">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659551" value="7659551" aria-label="mark item Zbl 1509.35248"></div> <div class="author"><a href="/authors/wang.kang-jia" title="Author Profile">Wang, Kang-Jia</a>; <a href="/authors/shi.feng" title="Author Profile">Shi, Feng</a>; <a href="/authors/wang.guodong" title="Author Profile">Wang, Guo-Dong</a></div> <h3 class="title"> <a href="/1509.35248"><strong>Periodic wave structure of the fractal generalized fourth-order Boussinesq equation traveling along the non-smooth boundary.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1509.35248">Zbl 1509.35248</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250168, 8 p. (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A35Q35" title="PDEs in connection with fluid mechanics">35Q35</a> <a class="mono" href="/classification/?q=cc%3A76B15" title="Water waves, gravity waves; dispersion and scattering, nonlinear interaction">76B15</a> <a class="mono" href="/classification/?q=cc%3A35C07" title="Traveling wave solutions">35C07</a> <a class="mono" href="/classification/?q=cc%3A35A15" title="Variational methods applied to PDEs">35A15</a> <a class="mono" href="/classification/?q=cc%3A35B10" title="Periodic solutions to PDEs">35B10</a> <a class="mono" href="/classification/?q=cc%3A28A80" title="Fractals">28A80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.35248" data-ciurl="/ci/07659551" data-biburl="/bibtex/07659551.bib" data-amsurl="/amsrefs/07659551.bib" data-xmlurl="/xml/07659551.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659551.pdf" title="Zbl 1509.35248 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S0218348X22501687" aria-label="DOI for “Periodic wave structure of the fractal generalized fourth-order Boussinesq equation traveling along the non-smooth boundary”" title="10.1142/S0218348X22501687">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7659550" value="7659550" aria-label="mark item Zbl 1528.28022"></div> <div class="author"><a href="/authors/huang.liangyi" title="Author Profile">Huang, Liang-Yi</a>; <a href="/authors/zhang.yuan.5" title="Author Profile">Zhang, Yuan</a></div> <h3 class="title"> <a href="/1528.28022"><strong>A dichotomy of strong open set condition of self-conformal sets.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1528.28022">Zbl 1528.28022</a> </h3> <div class="source"> <a href="/serials/2026" title="Journal Profile">Fractals</a> <a href="/?q=in%3A493841" title="Articles in this Issue">30, No. 9, Article ID 2250167, 6 p. 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