Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels

Detalhes bibliográficos
Autor(a) principal: Cruz, Fátima
Data de Publicação: 2021
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/10773/31613
Resumo: In this work, we study variational problems with time delay and higher-order distributed-order fractional derivatives dealing with a new fractional operator. This fractional derivative combines two known operators: distributed-order derivatives and derivatives with respect to another function. The main results of this paper are necessary and sufficient optimality conditions for different types of variational problems. Since we are dealing with generalized fractional derivatives, from this work, some well-known results can be obtained as particular cases.
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spelling Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernelsFractional calculusCalculus of variationsEuler–Lagrange equationsIsoperimetric problemsHolonomic problemsHigher-order derivativesIn this work, we study variational problems with time delay and higher-order distributed-order fractional derivatives dealing with a new fractional operator. This fractional derivative combines two known operators: distributed-order derivatives and derivatives with respect to another function. The main results of this paper are necessary and sufficient optimality conditions for different types of variational problems. Since we are dealing with generalized fractional derivatives, from this work, some well-known results can be obtained as particular cases.MDPI2021-07-22T09:03:37Z2021-07-02T00:00:00Z2021-07-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/31613eng10.3390/math9141665Cruz, 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:RCAAP2024-02-22T12:01:01Zoai:ria.ua.pt:10773/31613Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:03:27.023581Repositório 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 Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels
title Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels
spellingShingle Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels
Cruz, Fátima
Fractional calculus
Calculus of variations
Euler–Lagrange equations
Isoperimetric problems
Holonomic problems
Higher-order derivatives
title_short Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels
title_full Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels
title_fullStr Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels
title_full_unstemmed Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels
title_sort Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary 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
dc.subject.por.fl_str_mv Fractional calculus
Calculus of variations
Euler–Lagrange equations
Isoperimetric problems
Holonomic problems
Higher-order derivatives
topic Fractional calculus
Calculus of variations
Euler–Lagrange equations
Isoperimetric problems
Holonomic problems
Higher-order derivatives
description In this work, we study variational problems with time delay and higher-order distributed-order fractional derivatives dealing with a new fractional operator. This fractional derivative combines two known operators: distributed-order derivatives and derivatives with respect to another function. The main results of this paper are necessary and sufficient optimality conditions for different types of variational problems. Since we are dealing with generalized fractional derivatives, from this work, some well-known results can be obtained as particular cases.
publishDate 2021
dc.date.none.fl_str_mv 2021-07-22T09:03:37Z
2021-07-02T00:00:00Z
2021-07-02
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/10773/31613
url http://hdl.handle.net/10773/31613
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/math9141665
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 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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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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
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