Document Zbl 1524.35356

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Nonlinear Sci. Numer. Simul.</a> <a href="/?q=in%3A454290" title="Articles in this Issue">56, 34-48 (2018)</a>. </div> <div class="abstract">Summary: In this paper a class of elliptic hemivariational inequalities involving the time-fractional order integral operator is investigated. Exploiting the Rothe method and using the surjectivity of multivalued pseudomonotone operators, a result on existence of solution to the problem is established. Then, this abstract result is applied to provide a theorem on the weak solvability of a fractional viscoelastic contact problem. The process is quasistatic and the constitutive relation is modeled with the fractional Kelvin-Voigt law. The friction and contact conditions are described by the Clarke generalized gradient of nonconvex and nonsmooth functionals. The variational formulation of this problem leads to a fractional hemivariational inequality.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7263225">Cited in <strong>60</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A35L15" title="MSC2020">35L15</a> </td> <td class="space"> Initial value problems for second-order hyperbolic equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35L86" title="MSC2020">35L86</a> </td> <td class="space"> Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35L87" title="MSC2020">35L87</a> </td> <td class="space"> Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A74Hxx" title="MSC2020">74Hxx</a> </td> <td class="space"> Dynamical problems in solid mechanics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A74M10" title="MSC2020">74M10</a> </td> <td class="space"> Friction in solid mechanics </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Ahemivariational+inequality">hemivariational inequality</a>; <a href="/?q=ut%3ARothe+method">Rothe method</a>; <a href="/?q=ut%3AClarke+subdifferential">Clarke subdifferential</a>; <a href="/?q=ut%3ACaputo+derivative">Caputo derivative</a>; <a href="/?q=ut%3Afractional+viscoelastic+constitutive+law">fractional viscoelastic constitutive law</a>; <a href="/?q=ut%3Afriction">friction</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 1524.35356" data-ciurl="/ci/07263225" data-biburl="/bibtex/07263225.bib" data-amsurl="/amsrefs/07263225.bib" data-xmlurl="/xml/07263225.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07263225.pdf" title="Zbl 1524.35356 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.2017.07.016" aria-label="DOI for “A class of time-fractional hemivariational inequalities with application to frictional contact problem”" title="10.1016/j.cnsns.2017.07.016">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">Baleanu, D.; Diethelm, K.; Scalas, E.; Trujillo, J. 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