Minimization problems for functionals depending on generalized proportional fractional derivatives

Detalhes bibliográficos
Autor(a) principal: Almeida, Ricardo
Data de Publicação: 2022
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/35026
Resumo: In this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order derivative. We consider the problem with and without boundary conditions, and with additional restrictions like isoperimetric and holonomic. Herglotz’s variational problem and when in presence of time delays are also considered
id RCAP_cf6088b07249d2875285ff41ca42314d
oai_identifier_str oai:ria.ua.pt:10773/35026
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Minimization problems for functionals depending on generalized proportional fractional derivativesFractional calculusCalculus of variationsGeneralized proportional fractionalIn this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order derivative. We consider the problem with and without boundary conditions, and with additional restrictions like isoperimetric and holonomic. Herglotz’s variational problem and when in presence of time delays are also consideredMDPI2022-10-31T10:54:14Z2022-07-01T00:00:00Z2022-07info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35026eng10.3390/fractalfract6070356Almeida, Ricardoinfo: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:RCAAP2024-02-22T12:07:37Zoai:ria.ua.pt:10773/35026Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:13.084078Repositório 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 Minimization problems for functionals depending on generalized proportional fractional derivatives
title Minimization problems for functionals depending on generalized proportional fractional derivatives
spellingShingle Minimization problems for functionals depending on generalized proportional fractional derivatives
Almeida, Ricardo
Fractional calculus
Calculus of variations
Generalized proportional fractional
title_short Minimization problems for functionals depending on generalized proportional fractional derivatives
title_full Minimization problems for functionals depending on generalized proportional fractional derivatives
title_fullStr Minimization problems for functionals depending on generalized proportional fractional derivatives
title_full_unstemmed Minimization problems for functionals depending on generalized proportional fractional derivatives
title_sort Minimization problems for functionals depending on generalized proportional fractional derivatives
author Almeida, Ricardo
author_facet Almeida, Ricardo
author_role author
dc.contributor.author.fl_str_mv Almeida, Ricardo
dc.subject.por.fl_str_mv Fractional calculus
Calculus of variations
Generalized proportional fractional
topic Fractional calculus
Calculus of variations
Generalized proportional fractional
description In this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order derivative. We consider the problem with and without boundary conditions, and with additional restrictions like isoperimetric and holonomic. Herglotz’s variational problem and when in presence of time delays are also considered
publishDate 2022
dc.date.none.fl_str_mv 2022-10-31T10:54:14Z
2022-07-01T00:00:00Z
2022-07
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/10773/35026
url http://hdl.handle.net/10773/35026
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/fractalfract6070356
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_ 1799137717292892160

Registros relacionados