Document Zbl 1116.00014

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(ed.)</a>; <a href="/authors/agrawal.om-prakash" title="Author Profile">Agrawal, O. P. (ed.)</a>; <a href="/authors/machado.jose-antonio-tenreiro" title="Author Profile">Machado, J. A. Tenreiro (ed.)</a></div> <h2 class="title"> <strong>Advances in fractional calculus. Theoretical developments and applications in physics and engineering.</strong> <i>(English)</i> <a class="label nowrap" href="/1116.00014">Zbl 1116.00014</a> </h2> <div class="source"> Dordrecht: Springer (ISBN 978-1-4020-6041-0/hbk; 978-1-4020-6042-7/ebook). xiii, 552 p. (2007). </div> <div class="abstract"> <p> <strong> <a href="/?q=dt%3Aa+mo%3A5171041">Show indexed articles as search result.</a> </strong> </p> The articles of this volume will be reviewed individually.<br class="zbmathjax-paragraph">Indexed articles:<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Singh, Satwinder Jit; Chatterjee, Anindya</span>, Three classes of FDEs amenable to approximation using a Galerkin technique, 3-14 [<a href="/1128.65084">Zbl 1128.65084</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Hanneken, John W.; Vaught, David M.; Narahari Achar, B. N.</span>, Enumeration of the real zeros of the Mittag-Leffler function $E_\alpha(z)$, $1<\alpha< 2$, 15-26 [<a href="/1124.33020">Zbl 1124.33020</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Narahari Achar, B. N.; Lorenzo, Carl F.; Hartley, Tom T.</span>, The Caputo fractional derivative: initialization issues relative to fractional differential equation, 27-42 [<a href="/1138.26304">Zbl 1138.26304</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Agrawal, Om Prakash; Kumar, Pankaj</span>, Comparison of five numerical schemes for fractional differential equations, 43-60 [<a href="/1128.65105">Zbl 1128.65105</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Xue, Dingyü; Chen, Yangquan</span>, Suboptimum $H_2$ pseudo-rational approximations to fractional-order linear time invariant systems, 61-75 [<a href="/1127.65044">Zbl 1127.65044</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Bonilla, Blanca; Rivero, Margarita; Trujillo, Juan J.</span>, Linear differential equations of fractional order, 77-91 [<a href="/1137.34003">Zbl 1137.34003</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Ortigueira, Manuel Duarte</span>, Riesz potentials as centred derivatives, 93-112 [<a href="/1155.26005">Zbl 1155.26005</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Baleanu, Dumitru; Muslih, Sami I.</span>, On fractional variational principles, 115-126 [<a href="/1129.49001">Zbl 1129.49001</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Zaslavsky, George M.</span>, Fractional kinetics in pseudochaotic systems and its applications, 127-138 [<a href="/1125.37025">Zbl 1125.37025</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Krempl, Peter W.</span>, Semi-integrals and semi-derivatives in particle physics, 139-154 [<a href="/1133.26002">Zbl 1133.26002</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Nigmatullin, Raoul R.; Trujillo, Juan J.</span>, Mesoscopic fractional kinetic equations versus a Riemann-Liouville integral type, 155-167 [<a href="/1206.82076">Zbl 1206.82076</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Krepysheva, N.; Di Pietro, L.; Néel, M. C.</span>, Enhanced tracer diffusion in porous media with an impermeable boundary, 171-184 [<a href="/1206.82081">Zbl 1206.82081</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Logvinova, Kira; Néel, Marie Christine</span>, Solute spreading in heterogeneous aggregated porous media, 185-197 [<a href="/1206.82084">Zbl 1206.82084</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">San Jose Martines, F.; Pachepsky, Y. A.; Rawls, W. J.</span>, Fractional advective-dispersive equation as a model of solute transport in porous media, 199-212 [<a href="/1206.82094">Zbl 1206.82094</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Benchellal, Amel; Poinot, Thierry; Trigeassou, Jean-Claude</span>, Modelling and identification of diffusive systems using fractional models, 213-225 [<a href="/1130.80005">Zbl 1130.80005</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Valério, Duarte; Sá da Costa, José</span>, Identification of fractional models from frequency data, 229-242 [<a href="/1129.93360">Zbl 1129.93360</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Narahari Achar, B. N.; Hanneken, John W.</span>, Dynamic response of the fractional relaxor-oscillator to a harmonic driving force, 243-256 [<a href="/1350.70045">Zbl 1350.70045</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Haschka, Markus; Krebs, Volker</span>, A direct approximation of fractional Cole-Cole systems by ordinary first-order processes, 257-270 [<a href="/1127.80008">Zbl 1127.80008</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Sommacal, Laurent; Melchior, Pierre; Cabelguen, Jean-Marie; Oustaloup, Alain; Ijspeert, Auke</span>, Fractional multimodels of the gastrocnemius muscle for tetanus pattern, 271-285 [<a href="/1125.92021">Zbl 1125.92021</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Serrier, Pascal; Moreau, Xavier; Oustaloup, Alain</span>, Limited-bandwidth fractional differentiator: synthesis and application in vibration isolation, 287-302 [<a href="/1143.70014">Zbl 1143.70014</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Reis, Cecília; Machado, J. A. Tenreiro; Boaventura Cunha, J.</span>, A fractional calculus perspective in the evolutionary design of combinational circuits, 305-322 [<a href="/1179.94089">Zbl 1179.94089</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Machado, J. A. Tenreiro; Jesus, Isabel S.; Galhano, Alexandra; Boaventura Cunha, J.; Tar, J. K.</span>, Electrical skin phenomena: a fractional calculus analysis, 323-332 [<a href="/1134.78004">Zbl 1134.78004</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Jiang, Cindy X.; Carletta, Joan E.; Hartley, Tom T.</span>, Implementation of fractional-order operators on field programmable gate arrays, 333-346 [<a href="/1129.93014">Zbl 1129.93014</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Adams, Jay L.; Hartley, Tom T.; Lorenzo, Carl F.</span>, Complex order-distributions using conjugated order differintegrals, 347-360 [<a href="/1142.26303">Zbl 1142.26303</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Nasuno, Hiroshi; Shimizu, Nobuyuki; Fukunaga, Masataka</span>, Fractional derivative consideration on nonlinear viscoelastic statical and dynamical behavior under large pre-displacement, 363-376 [<a href="/1350.74005">Zbl 1350.74005</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Nigmatullin, R. R.; Alekhin, A. P.</span>, Quasi-fractals: new possibilities in description of disordered media, 377-388 [<a href="/1206.82052">Zbl 1206.82052</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Singh, Satwinder Jit; Chatterjee, Anindya</span>, Fractional damping: stochastic origin and finite approximations, 389-402 [<a href="/1350.74010">Zbl 1350.74010</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Catania, Giuseppe; Sorrentino, Silvio</span>, Analytical modelling and experimental identification of viscoelastic mechanical systems, 403-416 [<a href="/1350.74004">Zbl 1350.74004</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Moze, Mathieu; Sabatier, Jocelyn; Oustaloup, Alain</span>, LMI characterization of fractional systems stability, 419-434 [<a href="/1125.93051">Zbl 1125.93051</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Kuroda, Masaharu</span>, Active wave control for flexible structures using fractional calculus, 435-448 [<a href="/1126.93018">Zbl 1126.93018</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Feliu, Vicente; Vinagre, Blas M.; Monje, Concepción A.</span>, Fractional-order control of a flexible manipulator, 449-462 [<a href="/1126.93025">Zbl 1126.93025</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Valério, Duarte; Sá da Costa, José</span>, Tuning rules for fractional PIDs, 463-476 [<a href="/1126.93026">Zbl 1126.93026</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Melchior, Pierre; Poty, Alexandre; Oustaloup, Alain</span>, Frequency band-limited fractional differentiator prefilter in path tracking design, 477-492 [<a href="/1126.93397">Zbl 1126.93397</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Melchior, Pierre; Cugnet, Mikaël; Sabatier, Jocelyn; Poty, Alexandre; Oustaloup, Alain</span>, Flatness control of a fractional thermal system, 493-509 [<a href="/1126.93335">Zbl 1126.93335</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Lanusse, Patrick; Oustaloup, Alain</span>, Robustness comparison of Smith predictor-based control and fractional-order control, 511-526 [<a href="/1126.93023">Zbl 1126.93023</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Lanusse, Patrick; Oustaloup, Alain; Sabatier, Jocelyn</span>, Robust design of an anti-windup compensated 3rd-generation CRONE controller, 527-542 [<a href="/1125.93418">Zbl 1125.93418</a>]<br class="zbmathjax-paragraph"><span class="zbmathjax-textit">Liang, Jinsong; Zhang, Weiwei; Chen, Yangquan; Podlubny, Igor</span>, Robustness of fractional-order boundary control of time fractional wave equations with delayed boundary measurement using the simple predictor, 543-552 [<a href="/1125.93029">Zbl 1125.93029</a>]</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A5171041">Cited in <strong>1</strong> Review</a></div><div class="clear"><a href="/?q=rf%3A5171041">Cited in <strong>1009</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A00B25" title="MSC2020">00B25</a> </td> <td class="space"> Proceedings of conferences of miscellaneous specific interest </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A34-06" title="MSC2020">34-06</a> </td> <td class="space"> Proceedings, conferences, collections, etc. pertaining to ordinary differential equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A76-06" title="MSC2020">76-06</a> </td> <td class="space"> Proceedings, conferences, collections, etc. pertaining to fluid mechanics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93-06" title="MSC2020">93-06</a> </td> <td class="space"> Proceedings, conferences, collections, etc. pertaining to systems and control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A78-06" title="MSC2020">78-06</a> </td> <td class="space"> Proceedings, conferences, collections, etc. pertaining to optics and electromagnetic theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A74-06" title="MSC2020">74-06</a> </td> <td class="space"> Proceedings, conferences, collections, etc. pertaining to mechanics of deformable solids </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></table> </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 1116.00014" data-ciurl="/ci/05171041" data-biburl="/bibtex/05171041.bib" data-amsurl="/amsrefs/05171041.bib" data-xmlurl="/xml/05171041.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05171041.pdf" title="Zbl 1116.00014 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/10.1007/978-1-4020-6042-7" aria-label="DOI for “Advances in fractional calculus. 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