Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/10773/24526 |
Resumo: | We establish existence, approximate controllability and optimal control of a class of impulsive non-local non-linear fractional dynamical systems in Banach spaces. We use fractional calculus, sectorial operators and Krasnoselskii fixed point theorems for the main results. Approximate controllability results are discussed with respect to the inhomogeneous non-linear part. Moreover, we prove existence results of optimal pairs of corresponding fractional control systems with a Bolza cost functional. |
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Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal controlFractional nonlinear equationsApproximate controllabilityQ-resolvent familiesOptimal controlNonlocal and impulsive conditionsWe establish existence, approximate controllability and optimal control of a class of impulsive non-local non-linear fractional dynamical systems in Banach spaces. We use fractional calculus, sectorial operators and Krasnoselskii fixed point theorems for the main results. Approximate controllability results are discussed with respect to the inhomogeneous non-linear part. Moreover, we prove existence results of optimal pairs of corresponding fractional control systems with a Bolza cost functional.University of Miskolc2018-10-31T09:45:13Z2018-04-02T00:00:00Z2018-04-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/24526eng1787-240510.18514/MMN.2018.2486Guechi, SarraDebbouche, AmarTorres, 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:RCAAP2024-02-22T11:47:50Zoai:ria.ua.pt:10773/24526Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:58:03.318468Repositório 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 |
Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control |
title |
Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control |
spellingShingle |
Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control Guechi, Sarra Fractional nonlinear equations Approximate controllability Q-resolvent families Optimal control Nonlocal and impulsive conditions |
title_short |
Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control |
title_full |
Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control |
title_fullStr |
Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control |
title_full_unstemmed |
Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control |
title_sort |
Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control |
author |
Guechi, Sarra |
author_facet |
Guechi, Sarra Debbouche, Amar Torres, Delfim F. M. |
author_role |
author |
author2 |
Debbouche, Amar Torres, Delfim F. M. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Guechi, Sarra Debbouche, Amar Torres, Delfim F. M. |
dc.subject.por.fl_str_mv |
Fractional nonlinear equations Approximate controllability Q-resolvent families Optimal control Nonlocal and impulsive conditions |
topic |
Fractional nonlinear equations Approximate controllability Q-resolvent families Optimal control Nonlocal and impulsive conditions |
description |
We establish existence, approximate controllability and optimal control of a class of impulsive non-local non-linear fractional dynamical systems in Banach spaces. We use fractional calculus, sectorial operators and Krasnoselskii fixed point theorems for the main results. Approximate controllability results are discussed with respect to the inhomogeneous non-linear part. Moreover, we prove existence results of optimal pairs of corresponding fractional control systems with a Bolza cost functional. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-10-31T09:45:13Z 2018-04-02T00:00:00Z 2018-04-02 |
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/10773/24526 |
url |
http://hdl.handle.net/10773/24526 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1787-2405 10.18514/MMN.2018.2486 |
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 |
University of Miskolc |
publisher.none.fl_str_mv |
University of Miskolc |
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 |
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1799137634794078208 |