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Mansour</a>; <a href="/authors/baleanu.dumitru-i" title="Author Profile">Baleanu, Dumitru</a></div> <h2 class="title"> <strong>Solvability for a coupled system of fractional integrodifferential equations with \(m\)-point boundary conditions on the half-line.</strong> <i>(English)</i> <a class="label nowrap" href="/1469.34039">Zbl 1469.34039</a> </h2> <div class="source"> <a href="/serials/2324" title="Journal Profile">Abstr. Appl. Anal.</a> <a href="/?q=in%3A418814" title="Articles in this Issue">2014, Article ID 297314, 7 p. (2014)</a>. </div> <div class="abstract">Summary: The aim of this paper is to study the solvability for a coupled system of fractional integrodifferential equations with multipoint fractional boundary value problems on the half-line. An example is given to demonstrate the validity of our assumptions.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A34B10" title="MSC2020">34B10</a> </td> <td class="space"> Nonlocal and multipoint boundary value problems for ordinary differential equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A34A08" title="MSC2020">34A08</a> </td> <td class="space"> Fractional ordinary differential equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A34B40" title="MSC2020">34B40</a> </td> <td class="space"> Boundary value problems on infinite intervals for ordinary differential equations </td> </tr></table> </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">×</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 1469.34039" data-ciurl="/ci/07022112" data-biburl="/bibtex/07022112.bib" data-amsurl="/amsrefs/07022112.bib" data-xmlurl="/xml/07022112.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07022112.pdf" title="Zbl 1469.34039 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/10.1155/2014/297314" aria-label="DOI for “Solvability for a coupled system of fractional integrodifferential equations with \(m\)-point boundary conditions on the half-line”" title="10.1155/2014/297314">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/3.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Hilfer, R., Applications of Fractional Calculus in Physics (2000), Singapore: World Scientific Publishing, Singapore · <a href="/0998.26002" class="nowrap">Zbl 0998.26002</a></td> </tr><tr> <td>[2]</td> <td class="space">Kilbas, A. A.; Srivastava, H. M.; Trujillo, J. J., Theory and Applications of Fractional Differential Equations. Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204 (2006), Amsterdam, The Netherlands: Elsevier Science B. V., Amsterdam, The Netherlands · <a href="/1092.45003" class="nowrap">Zbl 1092.45003</a></td> </tr><tr> <td>[3]</td> <td class="space">Lakshmikantham, V.; Leela, S.; Devi, J. V., Theory of Fractional Dynamic Systems (2009), Cambridge, UK: Cambridge Scientific Publishers, Cambridge, UK · <a href="/1188.37002" class="nowrap">Zbl 1188.37002</a></td> </tr><tr> <td>[4]</td> <td class="space">Ahmad, B.; Nieto, J. J., Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions, Computers & Mathematics with Applications, 58, 9, 1838-1843 (2009) · <a href="/1205.34003" class="nowrap">Zbl 1205.34003</a> · <a href="https://doi.org/10.1016/j.camwa.2009.07.091" class="nowrap">doi:10.1016/j.camwa.2009.07.091</a></td> </tr><tr> <td>[5]</td> <td class="space">Bai, C.; Fang, J., The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations, Applied Mathematics and Computation, 150, 3, 611-621 (2004) · <a href="/1061.34001" class="nowrap">Zbl 1061.34001</a> · <a href="https://doi.org/10.1016/S0096-3003(03)00294-7" class="nowrap">doi:10.1016/S0096-3003(03)00294-7</a></td> </tr><tr> <td>[6]</td> <td class="space">Chen, Y.; Chen, D.; Lv, Z., The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions, Bulletin of the Iranian Mathematical Society, 38, 3, 607-624 (2012) · <a href="/1298.34011" class="nowrap">Zbl 1298.34011</a></td> </tr><tr> <td>[7]</td> <td class="space">Gaber, M.; Brikaa, M. G., Existence results for a coupled system of nonlinear fractional differential equation with four-point boundary conditions, ISRN Mathematical Analysis, 2011 (2011) · <a href="/1241.34009" class="nowrap">Zbl 1241.34009</a> · <a href="https://doi.org/10.5402/2011/468346" class="nowrap">doi:10.5402/2011/468346</a></td> </tr><tr> <td>[8]</td> <td class="space">Khodabakhshi, N.; Vaezpour, S. M., Existence results for a coupled system of nonlinear fractional differential equations with boundary value problems on an unbounded domain, Electronic Journal of Qualitative Theory of Differential Equations, 73 (2013) · <a href="/1340.34019" class="nowrap">Zbl 1340.34019</a></td> </tr><tr> <td>[9]</td> <td class="space">Su, X., Boundary value problem for a coupled system of nonlinear fractional differential equations, Applied Mathematics Letters. 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J., The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces, Nonlinear Analysis: Theory, Methods and Applications, 72, 12, 4587-4593 (2010) · <a href="/1196.34007" class="nowrap">Zbl 1196.34007</a> · <a href="https://doi.org/10.1016/j.na.2010.02.035" class="nowrap">doi:10.1016/j.na.2010.02.035</a></td> </tr><tr> <td>[17]</td> <td class="space">Nazari, D.; Shahmorad, S., Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions, Journal of Computational and Applied Mathematics, 234, 3, 883-891 (2010) · <a href="/1188.65174" class="nowrap">Zbl 1188.65174</a> · <a href="https://doi.org/10.1016/j.cam.2010.01.053" class="nowrap">doi:10.1016/j.cam.2010.01.053</a></td> </tr><tr> <td>[18]</td> <td class="space">Wang, J.; Yan, X.; Zhang, X. H.; Wang, T. M.; Li, X. Z., A class of nonlocal integrodifferential equations via fractional derivative and its mild solutions, Opuscula Mathematica, 31, 1, 119-135 (2011) · <a href="/1235.34210" class="nowrap">Zbl 1235.34210</a> · <a href="https://doi.org/10.7494/OpMath.2011.31.1.119" class="nowrap">doi:10.7494/OpMath.2011.31.1.119</a></td> </tr><tr> <td>[19]</td> <td class="space">Liu, Y., Existence and unboundedness of positive solutions for singular boundary value problems on half-line, Applied Mathematics and Computation, 144, 2-3, 543-556 (2003) · <a href="/1036.34027" class="nowrap">Zbl 1036.34027</a> · <a href="https://doi.org/10.1016/S0096-3003(02)00431-9" class="nowrap">doi:10.1016/S0096-3003(02)00431-9</a></td> </tr><tr> <td>[20]</td> <td class="space">Liang, S.; Zhang, J., Existence of three positive solutions of \(m\)-point boundary value problems for some nonlinear fractional differential equations on an infinite interval, Computers & Mathematics with Applications, 61, 11, 3343-3354 (2011) · <a href="/1235.34079" class="nowrap">Zbl 1235.34079</a> · <a href="https://doi.org/10.1016/j.camwa.2011.04.018" class="nowrap">doi:10.1016/j.camwa.2011.04.018</a></td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>