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Calc. Appl. Anal.</a> <a href="/?q=in%3A524242" title="Articles in this Issue">27, No. 5, 2359-2396 (2024)</a>. </div> <div class="abstract"></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7988580">Cited in <strong>1</strong> Document</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A35R25" title="MSC2020">35R25</a> </td> <td class="space"> Ill-posed problems for PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A47A52" title="MSC2020">47A52</a> </td> <td class="space"> Linear operators and ill-posed problems, regularization </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35R30" title="MSC2020">35R30</a> </td> <td class="space"> Inverse problems for PDEs </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3ACaputo-like+counterpart+hyper-Bessel+operator">Caputo-like counterpart hyper-Bessel operator</a>; <a href="/?q=ut%3Ainverse+problem">inverse problem</a>; <a href="/?q=ut%3Asource+item+identification">source item identification</a>; <a href="/?q=ut%3Ainitial+value+identification">initial value identification</a>; <a href="/?q=ut%3ATikhonov+regularization+method">Tikhonov regularization method</a></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 07988580" data-ciurl="/ci/07988580" data-biburl="/bibtex/07988580.bib" data-amsurl="/amsrefs/07988580.bib" data-xmlurl="/xml/07988580.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07988580.pdf" title="Zbl 07988580 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/s13540-024-00304-1" aria-label="DOI for “Identifying source term and initial value simultaneously for the time-fractional diffusion equation with Caputo-like hyper-Bessel operator”" title="10.1007/s13540-024-00304-1">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">Ahmad, B., Hadamard-type Fractional Differential Equations, 2017, Cham: Springer, Cham · <a href="/1370.34002" class="nowrap">Zbl 1370.34002</a></td> </tr><tr> <td>[2]</td> <td class="space">Al-Musalhi, F.; Al-Salti, N.; Karimov, E., Initial boundary value problems for a fractional differential equation with hyper-Bessel operator, Fract. 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