Variational problems with time delay and higher-order distributed-order fractional derivatives with arbitrary kernels
Autor(a) principal: | |
---|---|
Data de Publicação: | 2021 |
Outros Autores: | , |
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. |
id |
RCAP_599254ccba5b67ae1e0f4adb10267077 |
---|---|
oai_identifier_str |
oai:ria.ua.pt:10773/31613 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
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 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 |
|
_version_ |
1799137690061373440 |