Document Zbl 1499.34073

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Sci., Ser. B, Engl. Ed.</a> <a href="/?q=in%3A483727" title="Articles in this Issue">39, No. 2, 461-468 (2019)</a>. </div> <div class="abstract">Summary: The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation in the framework of Banach spaces. Using discrete approximation approach, an existence theorem of solutions for the inequality is established under some suitable assumptions.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7550733">Cited in <strong>38</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><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%3A26A33" title="MSC2020">26A33</a> </td> <td class="space"> Fractional derivatives and integrals </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35R11" title="MSC2020">35R11</a> </td> <td class="space"> Fractional partial differential equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A47J20" title="MSC2020">47J20</a> </td> <td class="space"> Variational and other types of inequalities involving nonlinear operators (general) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A49J40" title="MSC2020">49J40</a> </td> <td class="space"> Variational inequalities </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Afractional+differential+variational+inequality">fractional differential variational inequality</a>; <a href="/?q=ut%3A%5C%28C_0%5C%29-semigroup">$C_0$-semigroup</a>; <a href="/?q=ut%3Aminty+mixed+variational+inequality">minty mixed variational inequality</a>; <a href="/?q=ut%3Aexistence">existence</a>; <a href="/?q=ut%3Amild+solutions">mild solutions</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 1499.34073" data-ciurl="/ci/07550733" data-biburl="/bibtex/07550733.bib" data-amsurl="/amsrefs/07550733.bib" data-xmlurl="/xml/07550733.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07550733.pdf" title="Zbl 1499.34073 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/10.1007/s10473-019-0211-9" aria-label="DOI for “Mixed variational inequalities driven by fractional evolutionary equations”" title="10.1007/s10473-019-0211-9">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">Carstensen, C.; Gwinner, J., A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems, Ann Mat Pura Appl, 177, 1, 363-394 (1999) · <a href="/0954.65052" class="nowrap">Zbl 0954.65052</a> · <a href="https://doi.org/10.1007/BF02505918" class="nowrap">doi:10.1007/BF02505918</a></td> </tr><tr> <td>[2]</td> <td class="space">Chen, X.; Wang, Z., Differential variational inequality approach to dynamic games with shared constraints, Math Program, 146, 379-408 (2014) · <a href="/1302.91028" class="nowrap">Zbl 1302.91028</a> · <a href="https://doi.org/10.1007/s10107-013-0689-1" class="nowrap">doi:10.1007/s10107-013-0689-1</a></td> </tr><tr> <td>[3]</td> <td class="space">Gwinner, J., On a new class of differential variational inequalities and a stability result, Math Program, 139, 205-221 (2013) · <a href="/1277.34088" class="nowrap">Zbl 1277.34088</a> · <a href="https://doi.org/10.1007/s10107-013-0669-5" class="nowrap">doi:10.1007/s10107-013-0669-5</a></td> </tr><tr> <td>[4]</td> <td class="space">Ke, T. 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