Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives

Bibliographic Details
Main Author: Tajani, Asmae
Publication Date: 2023
Other Authors: Alaoui, Fatima-Zahrae El, Torres, Delfim F. M.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/40602
Summary: We study boundary regional controllability problems for a class of semilinear fractional systems. Sufficient conditions for regional boundary controllability are proved by assuming that the associated linear system is approximately regionally boundary controllable. The main result is obtained by using fractional powers of an operator and the fixed point technique under the approximate controllability of the corresponding linear system in a suitable subregion of the space domain. An algorithm is also proposed and some numerical simulations performed to illustrate the effectiveness of the obtained theoretical results.
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spelling Boundary regional controllability of semilinear systems involving Caputo time fractional derivativesFractional derivatives and integralsNonlinear systemsRegional controllabilitySemigroup operatorsFixed-point theoremsWe study boundary regional controllability problems for a class of semilinear fractional systems. Sufficient conditions for regional boundary controllability are proved by assuming that the associated linear system is approximately regionally boundary controllable. The main result is obtained by using fractional powers of an operator and the fixed point technique under the approximate controllability of the corresponding linear system in a suitable subregion of the space domain. An algorithm is also proposed and some numerical simulations performed to illustrate the effectiveness of the obtained theoretical results.American Romanian Academy of Arts and Science2024-02-07T15:24:11Z2023-01-01T00:00:00Z2023info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/40602eng0278-530710.14510/lm-ns.v43i1.1488.g1509Tajani, AsmaeAlaoui, Fatima-Zahrae ElTorres, 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:RCAAP2024-05-06T04:52:38Zoai:ria.ua.pt:10773/40602Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:23:08.310880Repositórios 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 Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives
title Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives
spellingShingle Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives
Tajani, Asmae
Fractional derivatives and integrals
Nonlinear systems
Regional controllability
Semigroup operators
Fixed-point theorems
title_short Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives
title_full Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives
title_fullStr Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives
title_full_unstemmed Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives
title_sort Boundary regional controllability of semilinear systems involving Caputo time fractional derivatives
author Tajani, Asmae
author_facet Tajani, Asmae
Alaoui, Fatima-Zahrae El
Torres, Delfim F. M.
author_role author
author2 Alaoui, Fatima-Zahrae El
Torres, Delfim F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Tajani, Asmae
Alaoui, Fatima-Zahrae El
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Fractional derivatives and integrals
Nonlinear systems
Regional controllability
Semigroup operators
Fixed-point theorems
topic Fractional derivatives and integrals
Nonlinear systems
Regional controllability
Semigroup operators
Fixed-point theorems
description We study boundary regional controllability problems for a class of semilinear fractional systems. Sufficient conditions for regional boundary controllability are proved by assuming that the associated linear system is approximately regionally boundary controllable. The main result is obtained by using fractional powers of an operator and the fixed point technique under the approximate controllability of the corresponding linear system in a suitable subregion of the space domain. An algorithm is also proposed and some numerical simulations performed to illustrate the effectiveness of the obtained theoretical results.
publishDate 2023
dc.date.none.fl_str_mv 2023-01-01T00:00:00Z
2023
2024-02-07T15:24:11Z
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/10773/40602
url http://hdl.handle.net/10773/40602
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0278-5307
10.14510/lm-ns.v43i1.1488.g1509
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 American Romanian Academy of Arts and Science
publisher.none.fl_str_mv American Romanian Academy of Arts and Science
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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