Fractional variational problems depending on indefinite integrals

Detalhes bibliográficos
Autor(a) principal: Almeida, R.
Data de Publicação: 2012
Outros Autores: Pooseh, S., Torres, D.F.M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/6584
Resumo: We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral. Main results give fractional Euler-Lagrange type equations and natural boundary conditions, which provide a generalization of the previous results found in the literature. Isoperimetric problems, problems with holonomic constraints and depending on higher-order Caputo derivatives, as well as fractional Lagrange problems, are considered. © 2011 Elsevier Ltd. All rights reserved.
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spelling Fractional variational problems depending on indefinite integralsCalculus of variationsCaputo derivativesFractional calculusFractional necessary optimality conditionsWe obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral. Main results give fractional Euler-Lagrange type equations and natural boundary conditions, which provide a generalization of the previous results found in the literature. Isoperimetric problems, problems with holonomic constraints and depending on higher-order Caputo derivatives, as well as fractional Lagrange problems, are considered. © 2011 Elsevier Ltd. All rights reserved.Elsevier2012-02-17T13:13:08Z2012-01-01T00:00:00Z2012info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/10773/6584eng0362-546X10.1016/j.na.2011.02.028Almeida, R.Pooseh, S.Torres, D.F.M.info: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:RCAAP2024-02-22T11:04:28Zoai:ria.ua.pt:10773/6584Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:12.286041Repositório 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 Fractional variational problems depending on indefinite integrals
title Fractional variational problems depending on indefinite integrals
spellingShingle Fractional variational problems depending on indefinite integrals
Almeida, R.
Calculus of variations
Caputo derivatives
Fractional calculus
Fractional necessary optimality conditions
title_short Fractional variational problems depending on indefinite integrals
title_full Fractional variational problems depending on indefinite integrals
title_fullStr Fractional variational problems depending on indefinite integrals
title_full_unstemmed Fractional variational problems depending on indefinite integrals
title_sort Fractional variational problems depending on indefinite integrals
author Almeida, R.
author_facet Almeida, R.
Pooseh, S.
Torres, D.F.M.
author_role author
author2 Pooseh, S.
Torres, D.F.M.
author2_role author
author
dc.contributor.author.fl_str_mv Almeida, R.
Pooseh, S.
Torres, D.F.M.
dc.subject.por.fl_str_mv Calculus of variations
Caputo derivatives
Fractional calculus
Fractional necessary optimality conditions
topic Calculus of variations
Caputo derivatives
Fractional calculus
Fractional necessary optimality conditions
description We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral. Main results give fractional Euler-Lagrange type equations and natural boundary conditions, which provide a generalization of the previous results found in the literature. Isoperimetric problems, problems with holonomic constraints and depending on higher-order Caputo derivatives, as well as fractional Lagrange problems, are considered. © 2011 Elsevier Ltd. All rights reserved.
publishDate 2012
dc.date.none.fl_str_mv 2012-02-17T13:13:08Z
2012-01-01T00:00:00Z
2012
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/6584
url http://hdl.handle.net/10773/6584
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0362-546X
10.1016/j.na.2011.02.028
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dc.format.none.fl_str_mv application/pdf
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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)
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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
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