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Caputo derivatives of fractional variable order: numerical approximations

2015-11-06Journal article Restricted access
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dc.contributor.authorTavares, Dina
dc.contributor.authorAlmeida, Ricardo
dc.contributor.authorTorres, Delfim F. M.
dc.date.accessioned2018-06-28T10:35:46Z
dc.date.available2018-06-28T10:35:46Z
dc.date.issued2015-11-06
dc.description.abstractWe present a new numerical tool to solve partial differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one of them an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. We then compare the numerical approximation of some test function with its exact fractional derivative. We end with an exemplification of how the presented methods can be used to solve partial fractional differential equations of variable order.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.cnsns.2015.10.027pt_PT
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/10400.8/3310
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.cnsns.2015.10.027pt_PT
dc.subjectFractional calculuspt_PT
dc.subjectFractional variable orderpt_PT
dc.subjectFractional differential equationspt_PT
dc.subjectApproximation methodspt_PT
dc.titleCaputo derivatives of fractional variable order: numerical approximationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage87pt_PT
oaire.citation.startPage69pt_PT
oaire.citation.titleCommunications in Nonlinear Science and Numerical Simulationpt_PT
oaire.citation.volume35pt_PT
person.familyNameTavares
person.givenNameDina
person.identifier.ciencia-idE017-F6C3-562F
person.identifier.orcid0000-0002-4938-0855
person.identifier.scopus-author-id56519530700
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicatione6ef797b-2ad4-446d-961d-239c53f9ea37
relation.isAuthorOfPublication.latestForDiscoverye6ef797b-2ad4-446d-961d-239c53f9ea37

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