Document Zbl 1509.26005

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Nonlinear Sci. Numer. Simul.</a> <a href="/?q=in%3A454440" title="Articles in this Issue">64, 213-231 (2018)</a>. </div> <div class="abstract">Summary: Fractional calculus is at this stage an arena where many models are still to be introduced, discussed and applied to real world applications in many branches of science and engineering where nonlocality plays a crucial role. Although researchers have already reported many excellent results in several seminal monographs and review articles, there are still a large number of non-local phenomena unexplored and waiting to be discovered. Therefore, year by year, we can discover new aspects of the fractional modeling and applications. This review article aims to present some short summaries written by distinguished researchers in the field of fractional calculus. We believe this incomplete, but important, information will guide young researchers and help newcomers to see some of the main real-world applications and gain an understanding of this powerful mathematical tool. We expect this collection will also benefit our community.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A7265270">Cited in <strong>1</strong> Review</a></div><div class="clear"><a href="/?q=rf%3A7265270">Cited in <strong>526</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A26A33" title="MSC2020">26A33</a> </td> <td class="space"> Fractional derivatives and integrals </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Afractional+calculus">fractional calculus</a>; <a href="/?q=ut%3Afractional+differential+equations">fractional differential equations</a>; <a href="/?q=ut%3Aanomalous+diffusion">anomalous diffusion</a>; <a href="/?q=ut%3Avisoelasticity">visoelasticity</a>; <a href="/?q=ut%3Acontrol">control</a>; <a href="/?q=ut%3Asignal+and+image+processing">signal and image processing</a>; <a href="/?q=ut%3Adynamic+systems">dynamic systems</a>; <a href="/?q=ut%3Abiology">biology</a>; <a href="/?q=ut%3Amacroeconomic+models">macroeconomic models</a>; <a href="/?q=ut%3Aenvironmental+science">environmental science</a></div> <div class="software"> <h3>Software:</h3><a href="/software/20907">ML</a>; <a href="/software/19507">FOTF Toolbox</a>; <a href="/software/7382">CRONE</a>; <a href="/software/12185">Ninteger</a></div>  <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">×</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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1509.26005" data-ciurl="/ci/07265270" data-biburl="/bibtex/07265270.bib" data-amsurl="/amsrefs/07265270.bib" data-xmlurl="/xml/07265270.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07265270.pdf" title="Zbl 1509.26005 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/10.1016/j.cnsns.2018.04.019" aria-label="DOI for “A new collection of real world applications of fractional calculus in science and engineering”" title="10.1016/j.cnsns.2018.04.019">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Samko, S. 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