Numerical solution for fractional variational problems using the Jacobi polynomials

Detalhes bibliográficos
Autor(a) principal: Khosravian-Arab, Hassan
Data de Publicação: 2015
Outros Autores: Almeida, Ricardo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15015
Resumo: We exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the Jacobi polynomials are proven. By some examples, we show the convergence of such procedure, comparing the exact solution with numerical approximations.
id RCAP_14c675ab6f7a5503a88d20c5f35ac6e7
oai_identifier_str oai:ria.ua.pt:10773/15015
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Numerical solution for fractional variational problems using the Jacobi polynomialsJacobi polynomialsCalculus of variationsFractional calculusFractional Leitmann principleWe exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the Jacobi polynomials are proven. By some examples, we show the convergence of such procedure, comparing the exact solution with numerical approximations.Elsevier2018-07-20T14:00:51Z2015-11-01T00:00:00Z2015-11-012016-10-31T15:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15015eng0307-904X10.1016/j.apm.2015.01.060Khosravian-Arab, HassanAlmeida, Ricardoinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:27:46Zoai:ria.ua.pt:10773/15015Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:29.670509Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Numerical solution for fractional variational problems using the Jacobi polynomials
title Numerical solution for fractional variational problems using the Jacobi polynomials
spellingShingle Numerical solution for fractional variational problems using the Jacobi polynomials
Khosravian-Arab, Hassan
Jacobi polynomials
Calculus of variations
Fractional calculus
Fractional Leitmann principle
title_short Numerical solution for fractional variational problems using the Jacobi polynomials
title_full Numerical solution for fractional variational problems using the Jacobi polynomials
title_fullStr Numerical solution for fractional variational problems using the Jacobi polynomials
title_full_unstemmed Numerical solution for fractional variational problems using the Jacobi polynomials
title_sort Numerical solution for fractional variational problems using the Jacobi polynomials
author Khosravian-Arab, Hassan
author_facet Khosravian-Arab, Hassan
Almeida, Ricardo
author_role author
author2 Almeida, Ricardo
author2_role author
dc.contributor.author.fl_str_mv Khosravian-Arab, Hassan
Almeida, Ricardo
dc.subject.por.fl_str_mv Jacobi polynomials
Calculus of variations
Fractional calculus
Fractional Leitmann principle
topic Jacobi polynomials
Calculus of variations
Fractional calculus
Fractional Leitmann principle
description We exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the Jacobi polynomials are proven. By some examples, we show the convergence of such procedure, comparing the exact solution with numerical approximations.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-01T00:00:00Z
2015-11-01
2016-10-31T15:00:00Z
2018-07-20T14:00:51Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/15015
url http://hdl.handle.net/10773/15015
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0307-904X
10.1016/j.apm.2015.01.060
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799137555109642240

Registros relacionados