Optimal control problems involving combined fractional operators with general analytic kernels

Detalhes bibliográficos
Autor(a) principal: Ndaïrou, Faïçal
Data de Publicação: 2021
Outros Autores: Torres, Delfim F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/32193
Resumo: Fractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.
id RCAP_f7d426a8b6043cc476fae60b6d1d32be
oai_identifier_str oai:ria.ua.pt:10773/32193
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Optimal control problems involving combined fractional operators with general analytic kernelsFractional operators with general analytic kernelsGronwall’s inequalityOptimal control and Pontryagin’s extremalsMangasarian sufficient optimality conditionFractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.MDPI2021-09-24T10:51:04Z2021-10-01T00:00:00Z2021-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/32193eng2227-739010.3390/math9192355Ndaïrou, FaïçalTorres, Delfim F. M.info: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:RCAAP2024-02-22T12:02:20Zoai:ria.ua.pt:10773/32193Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:01.617307Repositório 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 Optimal control problems involving combined fractional operators with general analytic kernels
title Optimal control problems involving combined fractional operators with general analytic kernels
spellingShingle Optimal control problems involving combined fractional operators with general analytic kernels
Ndaïrou, Faïçal
Fractional operators with general analytic kernels
Gronwall’s inequality
Optimal control and Pontryagin’s extremals
Mangasarian sufficient optimality condition
title_short Optimal control problems involving combined fractional operators with general analytic kernels
title_full Optimal control problems involving combined fractional operators with general analytic kernels
title_fullStr Optimal control problems involving combined fractional operators with general analytic kernels
title_full_unstemmed Optimal control problems involving combined fractional operators with general analytic kernels
title_sort Optimal control problems involving combined fractional operators with general analytic kernels
author Ndaïrou, Faïçal
author_facet Ndaïrou, Faïçal
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.author.fl_str_mv Ndaïrou, Faïçal
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Fractional operators with general analytic kernels
Gronwall’s inequality
Optimal control and Pontryagin’s extremals
Mangasarian sufficient optimality condition
topic Fractional operators with general analytic kernels
Gronwall’s inequality
Optimal control and Pontryagin’s extremals
Mangasarian sufficient optimality condition
description Fractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-24T10:51:04Z
2021-10-01T00:00:00Z
2021-10-01
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/10773/32193
url http://hdl.handle.net/10773/32193
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2227-7390
10.3390/math9192355
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_ 1799137695728926720

Registros relacionados