Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels

Detalhes bibliográficos
Autor(a) principal: Cruz, Fátima
Data de Publicação: 2022
Outros Autores: Almeida, Ricardo, Martins, Natália
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/35605
Resumo: In this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function. We prove necessary optimality conditions for the Herglotz fractional variational problem with and without time delay, with higher-order derivatives, and with several independent variables. Since the Herglotz-type variational problem is a generalization of the classical variational problem, our main results generalize several results from the fractional calculus of variations. To illustrate the theoretical developments included in this paper, we provide some example
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spelling Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernelsIn this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function. We prove necessary optimality conditions for the Herglotz fractional variational problem with and without time delay, with higher-order derivatives, and with several independent variables. Since the Herglotz-type variational problem is a generalization of the classical variational problem, our main results generalize several results from the fractional calculus of variations. To illustrate the theoretical developments included in this paper, we provide some exampleMDPI2023-01-04T11:06:28Z2022-12-01T00:00:00Z2022-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35605eng2504-311010.3390/fractalfract6120731Cruz, FátimaAlmeida, RicardoMartins, Natáliainfo: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:RCAAP2024-02-22T12:08:11Zoai:ria.ua.pt:10773/35605Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:25.894254Repositório 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 Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels
title Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels
spellingShingle Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels
Cruz, Fátima
title_short Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels
title_full Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels
title_fullStr Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels
title_full_unstemmed Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels
title_sort Herglotz variational problems involving distributed-order fractional derivatives with arbitrary smooth kernels
author Cruz, Fátima
author_facet Cruz, Fátima
Almeida, Ricardo
Martins, Natália
author_role author
author2 Almeida, Ricardo
Martins, Natália
author2_role author
author
dc.contributor.author.fl_str_mv Cruz, Fátima
Almeida, Ricardo
Martins, Natália
description In this paper, we consider Herglotz-type variational problems dealing with fractional derivatives of distributed-order with respect to another function. We prove necessary optimality conditions for the Herglotz fractional variational problem with and without time delay, with higher-order derivatives, and with several independent variables. Since the Herglotz-type variational problem is a generalization of the classical variational problem, our main results generalize several results from the fractional calculus of variations. To illustrate the theoretical developments included in this paper, we provide some example
publishDate 2022
dc.date.none.fl_str_mv 2022-12-01T00:00:00Z
2022-12
2023-01-04T11:06:28Z
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/10773/35605
url http://hdl.handle.net/10773/35605
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2504-3110
10.3390/fractalfract6120731
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
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
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