A necessary optimality condition for extended weighted generalized fractional optimal control problems

Detalhes bibliográficos
Autor(a) principal: Zine, Houssine
Data de Publicação: 2024
Outros Autores: Lotfi, El Mehdi, Torres, Delfim F. M., Yousfi, Noura
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/39974
Resumo: Using the recent weighted generalized fractional order operators of Hattaf, a general fractional optimal control problem without constraints on the values of the control functions is formulated and a corresponding (weak) version of Pontryagin’s maximum principle is proved. As corollaries, necessary optimality conditions for Caputo–Fabrizio, Atangana–Baleanu and weighted Atangana–Baleanu fractional dynamic optimization problems are trivially obtained. As an application, the weighted generalized fractional problem of the calculus of variations is investigated and a new more general fractional Euler–Lagrange equation is given.
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spelling A necessary optimality condition for extended weighted generalized fractional optimal control problemsExtended weighted generalized fractional optimal control problemsWeak Pontryagin’s maximum principleFractional calculus of variationsFractional Euler–Lagrange equationHamiltonian approachWeighted generalized integration by partsUsing the recent weighted generalized fractional order operators of Hattaf, a general fractional optimal control problem without constraints on the values of the control functions is formulated and a corresponding (weak) version of Pontryagin’s maximum principle is proved. As corollaries, necessary optimality conditions for Caputo–Fabrizio, Atangana–Baleanu and weighted Atangana–Baleanu fractional dynamic optimization problems are trivially obtained. As an application, the weighted generalized fractional problem of the calculus of variations is investigated and a new more general fractional Euler–Lagrange equation is given.Elsevier2024-01-05T12:59:51Z2024-03-01T00:00:00Z2024-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39974eng2666-720710.1016/j.rico.2023.100356Zine, HoussineLotfi, El MehdiTorres, Delfim F. M.Yousfi, Nourainfo: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:RCAAP2024-02-22T12:18:04Zoai:ria.ua.pt:10773/39974Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:10:00.695352Repositório 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 necessary optimality condition for extended weighted generalized fractional optimal control problems
title A necessary optimality condition for extended weighted generalized fractional optimal control problems
spellingShingle A necessary optimality condition for extended weighted generalized fractional optimal control problems
Zine, Houssine
Extended weighted generalized fractional optimal control problems
Weak Pontryagin’s maximum principle
Fractional calculus of variations
Fractional Euler–Lagrange equation
Hamiltonian approach
Weighted generalized integration by parts
title_short A necessary optimality condition for extended weighted generalized fractional optimal control problems
title_full A necessary optimality condition for extended weighted generalized fractional optimal control problems
title_fullStr A necessary optimality condition for extended weighted generalized fractional optimal control problems
title_full_unstemmed A necessary optimality condition for extended weighted generalized fractional optimal control problems
title_sort A necessary optimality condition for extended weighted generalized fractional optimal control problems
author Zine, Houssine
author_facet Zine, Houssine
Lotfi, El Mehdi
Torres, Delfim F. M.
Yousfi, Noura
author_role author
author2 Lotfi, El Mehdi
Torres, Delfim F. M.
Yousfi, Noura
author2_role author
author
author
dc.contributor.author.fl_str_mv Zine, Houssine
Lotfi, El Mehdi
Torres, Delfim F. M.
Yousfi, Noura
dc.subject.por.fl_str_mv Extended weighted generalized fractional optimal control problems
Weak Pontryagin’s maximum principle
Fractional calculus of variations
Fractional Euler–Lagrange equation
Hamiltonian approach
Weighted generalized integration by parts
topic Extended weighted generalized fractional optimal control problems
Weak Pontryagin’s maximum principle
Fractional calculus of variations
Fractional Euler–Lagrange equation
Hamiltonian approach
Weighted generalized integration by parts
description Using the recent weighted generalized fractional order operators of Hattaf, a general fractional optimal control problem without constraints on the values of the control functions is formulated and a corresponding (weak) version of Pontryagin’s maximum principle is proved. As corollaries, necessary optimality conditions for Caputo–Fabrizio, Atangana–Baleanu and weighted Atangana–Baleanu fractional dynamic optimization problems are trivially obtained. As an application, the weighted generalized fractional problem of the calculus of variations is investigated and a new more general fractional Euler–Lagrange equation is given.
publishDate 2024
dc.date.none.fl_str_mv 2024-01-05T12:59:51Z
2024-03-01T00:00:00Z
2024-03
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/10773/39974
url http://hdl.handle.net/10773/39974
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2666-7207
10.1016/j.rico.2023.100356
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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