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Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control

Bibliographic Details
Main Author: Guechi, Sarra
Publication Date: 2018
Other Authors: Debbouche, Amar, Torres, Delfim F. M.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/24526
Summary: 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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spelling 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:17:31Zoai:ria.ua.pt:10773/24526Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:03:17.107151Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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