Document Zbl 1196.34007

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A, Theory Methods</a> <a href="/?q=in%3A261713" title="Articles in this Issue">72, No. 12, 4587-4593 (2010)</a>. </div> <div class="abstract">Summary: We prove the existence of solutions of certain classes of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example is presented.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A5711927">Cited in <strong>109</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%3A34G20" title="MSC2020">34G20</a> </td> <td class="space"> Nonlinear differential equations in abstract spaces </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aexistence+of+a+solution">existence of a solution</a>; <a href="/?q=ut%3Anonlinear+fractional+equation">nonlinear fractional equation</a>; <a href="/?q=ut%3Anonlocal+models">nonlocal models</a>; <a href="/?q=ut%3Anonlocal+condition">nonlocal condition</a>; <a href="/?q=ut%3Afractional+calculus">fractional calculus</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 1196.34007" data-ciurl="/ci/05711927" data-biburl="/bibtex/05711927.bib" data-amsurl="/amsrefs/05711927.bib" data-xmlurl="/xml/05711927.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05711927.pdf" title="Zbl 1196.34007 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.na.2010.02.035" aria-label="DOI for “The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces”" title="10.1016/j.na.2010.02.035">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">Bonilla, B.; Rivero, M.; Rodríguez-Germa, L.; Trujillo, J. 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