A fractional calculus of variations for multiple integrals with application to vibrating string

Detalhes bibliográficos
Autor(a) principal: Almeida, R.
Data de Publicação: 2010
Outros Autores: Malinowska, A.B., 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/10773/4119
Resumo: We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. The main results provide fractional versions of the theorems of Green and Gauss, fractional Euler-Lagrange equations, and fractional natural boundary conditions. As an application we discuss the fractional equation of motion of a vibrating string. © 2010 American Institute of Physics.
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spelling A fractional calculus of variations for multiple integrals with application to vibrating stringWe introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. The main results provide fractional versions of the theorems of Green and Gauss, fractional Euler-Lagrange equations, and fractional natural boundary conditions. As an application we discuss the fractional equation of motion of a vibrating string. © 2010 American Institute of Physics.American Institute of Physics (AIP)20102010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/4119eng0022-2488Almeida, R.Malinowska, A.B.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:RCAAP2024-05-06T03:33:10Zoai:ria.ua.pt:10773/4119Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-06T03:33:10Repositório 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 A fractional calculus of variations for multiple integrals with application to vibrating string
title A fractional calculus of variations for multiple integrals with application to vibrating string
spellingShingle A fractional calculus of variations for multiple integrals with application to vibrating string
Almeida, R.
title_short A fractional calculus of variations for multiple integrals with application to vibrating string
title_full A fractional calculus of variations for multiple integrals with application to vibrating string
title_fullStr A fractional calculus of variations for multiple integrals with application to vibrating string
title_full_unstemmed A fractional calculus of variations for multiple integrals with application to vibrating string
title_sort A fractional calculus of variations for multiple integrals with application to vibrating string
author Almeida, R.
author_facet Almeida, R.
Malinowska, A.B.
Torres, D.F.M.
author_role author
author2 Malinowska, A.B.
Torres, D.F.M.
author2_role author
author
dc.contributor.author.fl_str_mv Almeida, R.
Malinowska, A.B.
Torres, D.F.M.
description We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. The main results provide fractional versions of the theorems of Green and Gauss, fractional Euler-Lagrange equations, and fractional natural boundary conditions. As an application we discuss the fractional equation of motion of a vibrating string. © 2010 American Institute of Physics.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-01T00:00:00Z
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/10773/4119
url http://hdl.handle.net/10773/4119
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-2488
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 American Institute of Physics (AIP)
publisher.none.fl_str_mv American Institute of Physics (AIP)
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 mluisa.alvim@gmail.com
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