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, AB, Torres, DFM
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/18267
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.
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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.2017-08-30T10:28:28Z2010-01-01T00:00:00Z2010info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18267eng0022-2488Almeida, RMalinowska, ABTorres, DFMinfo: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:RCAAP2024-02-22T11:04:27Zoai:ria.ua.pt:10773/18267Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:12.070773Repositório 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, AB
Torres, DFM
author_role author
author2 Malinowska, AB
Torres, DFM
author2_role author
author
dc.contributor.author.fl_str_mv Almeida, R
Malinowska, AB
Torres, DFM
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.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01T00:00:00Z
2010
2017-08-30T10:28:28Z
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/10773/18267
url http://hdl.handle.net/10773/18267
dc.language.iso.fl_str_mv eng
language eng
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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.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
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reponame_str 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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