Fractional calculus of variations for double integrals

Detalhes bibliográficos
Autor(a) principal: Odzijewicz, T.
Data de Publicação: 2011
Outros Autores: 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/10773/4065
Resumo: We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions. © Balkan Society of Geometers, Geometry Balkan Press 2011.
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spelling Fractional calculus of variations for double integralsCalculus of variationsFractional calculusModified riemann-liouville derivativeMultiple integral costMultitime Euler-Lagrange fractional PDEWe consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions. © Balkan Society of Geometers, Geometry Balkan Press 2011.Geometry Balkan Press2011-09-30T16:05:09Z2011-01-01T00:00:00Z2011info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/4065eng1224-2780Odzijewicz, T.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:RCAAP2024-02-22T11:04:14Zoai:ria.ua.pt:10773/4065Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:07.709500Repositório 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 calculus of variations for double integrals
title Fractional calculus of variations for double integrals
spellingShingle Fractional calculus of variations for double integrals
Odzijewicz, T.
Calculus of variations
Fractional calculus
Modified riemann-liouville derivative
Multiple integral cost
Multitime Euler-Lagrange fractional PDE
title_short Fractional calculus of variations for double integrals
title_full Fractional calculus of variations for double integrals
title_fullStr Fractional calculus of variations for double integrals
title_full_unstemmed Fractional calculus of variations for double integrals
title_sort Fractional calculus of variations for double integrals
author Odzijewicz, T.
author_facet Odzijewicz, T.
Torres, D.F.M.
author_role author
author2 Torres, D.F.M.
author2_role author
dc.contributor.author.fl_str_mv Odzijewicz, T.
Torres, D.F.M.
dc.subject.por.fl_str_mv Calculus of variations
Fractional calculus
Modified riemann-liouville derivative
Multiple integral cost
Multitime Euler-Lagrange fractional PDE
topic Calculus of variations
Fractional calculus
Modified riemann-liouville derivative
Multiple integral cost
Multitime Euler-Lagrange fractional PDE
description We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions. © Balkan Society of Geometers, Geometry Balkan Press 2011.
publishDate 2011
dc.date.none.fl_str_mv 2011-09-30T16:05:09Z
2011-01-01T00:00:00Z
2011
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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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/4065
url http://hdl.handle.net/10773/4065
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1224-2780
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 Geometry Balkan Press
publisher.none.fl_str_mv Geometry Balkan Press
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
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