1. Home
  2. CIDMA - Centro de Investigação e Desenvolvimento em Matemática e Aplicações
  3. CIDMA - Systems and Control Group
  4. SCG - Artigos
Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/26014
Full metadata record
DC FieldValueLanguage
dc.contributor.authorAlmeida, Ricardopt_PT
dc.contributor.authorMorgado, M. Luísapt_PT
dc.date.accessioned2019-05-09T16:10:33Z-
dc.date.available2019-05-09T16:10:33Z-
dc.date.issued2019-12-01-
dc.identifier.issn0377-0427pt_PT
dc.identifier.urihttp://hdl.handle.net/10773/26014-
dc.description.abstractIn this paper, we study variational problems where the cost functional involves the tempered Caputo fractional derivative. Several important optimization conditions are derived to find the optimal solution. Sufficient and necessary conditions are presented for different variational problems. For example, the cases of integral (isoperimetric problem) and holonomic constraints are considered, as well as problems with high order derivatives. A numerical scheme is proposed to determine approximations of the solution and it is illustrated through some examplespt_PT
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relationUID/MAT/04106/2019pt_PT
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147271/PTpt_PT
dc.rightsrestrictedAccesspt_PT
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectEuler–Lagrange equationpt_PT
dc.subjectNumerical methodspt_PT
dc.subjectTempered fractional derivativept_PT
dc.titleAnalysis and numerical approximation of tempered fractional calculus of variations problemspt_PT
dc.typearticlept_PT
dc.description.versionpublishedpt_PT
dc.peerreviewedyespt_PT
degois.publication.firstPage1pt_PT
degois.publication.lastPage12pt_PT
degois.publication.titleJournal of Computational and Applied Mathematicspt_PT
degois.publication.volume361pt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0377042719301906pt_PT
dc.identifier.doi10.1016/j.cam.2019.04.010pt_PT
dc.identifier.essn1879-1778pt_PT
Appears in Collections:CIDMA - Artigos
SCG - Artigos

Files in This Item:
File Description SizeFormat 
[2019] Analysis and numerical approximation of tempered fractional calculus of variations problems.pdf374.94 kBAdobe PDFrestrictedAccess
Show simple item record


FacebookTwitterLinkedIn
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.