Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces
Autor(a) principal: | |
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Data de Publicação: | 2022 |
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/10773/35009 |
Resumo: | We investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability of the fractional-order system and conditions for existence of a solution to an optimal control problem of minimum energy. The results are proved with the help of fixed-point and semigroup theories. |
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Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spacesFractional control systemsNeutral evolution systemsControllabilityOptimal controlMinimum energyBanach fixed point theoremWe investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability of the fractional-order system and conditions for existence of a solution to an optimal control problem of minimum energy. The results are proved with the help of fixed-point and semigroup theories.MDPI2022-10-26T14:58:22Z2022-01-01T00:00:00Z2022info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/35009eng10.3390/axioms11080379Ech-chaffani, ZoubidaAberqi, AhmedKarite, TouriaTorres, 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:RCAAP2024-02-22T12:06:35Zoai:ria.ua.pt:10773/35009Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:05:47.487217Repositório 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 |
Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces |
title |
Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces |
spellingShingle |
Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces Ech-chaffani, Zoubida Fractional control systems Neutral evolution systems Controllability Optimal control Minimum energy Banach fixed point theorem |
title_short |
Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces |
title_full |
Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces |
title_fullStr |
Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces |
title_full_unstemmed |
Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces |
title_sort |
Minimum energy problem in the sense of Caputo for fractional neutral evolution systems in Banach spaces |
author |
Ech-chaffani, Zoubida |
author_facet |
Ech-chaffani, Zoubida Aberqi, Ahmed Karite, Touria Torres, Delfim F. M. |
author_role |
author |
author2 |
Aberqi, Ahmed Karite, Touria Torres, Delfim F. M. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Ech-chaffani, Zoubida Aberqi, Ahmed Karite, Touria Torres, Delfim F. M. |
dc.subject.por.fl_str_mv |
Fractional control systems Neutral evolution systems Controllability Optimal control Minimum energy Banach fixed point theorem |
topic |
Fractional control systems Neutral evolution systems Controllability Optimal control Minimum energy Banach fixed point theorem |
description |
We investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability of the fractional-order system and conditions for existence of a solution to an optimal control problem of minimum energy. The results are proved with the help of fixed-point and semigroup theories. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-10-26T14:58:22Z 2022-01-01T00:00:00Z 2022 |
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/10773/35009 |
url |
http://hdl.handle.net/10773/35009 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.3390/axioms11080379 |
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 |
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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 |
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1799137712649797632 |