Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space

Detalhes bibliográficos
Autor(a) principal: Boucenna, Djalal
Data de Publicação: 2022
Outros Autores: Chidouh, Amar, 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/10773/34443
Resumo: We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Using the Krasnosel'skii fixed-point theorem we prove, via the Kolmogorov-Riesz criteria, the existence of solutions. The existence results are established in a specific fractional derivative Banach space and they are illustrated by two numerical examples.
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spelling Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach spaceFractional differential equationsBoundary value problemsKolmogorov-Riesz theoremFixed point theoremsNemytskii operatorWe study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Using the Krasnosel'skii fixed-point theorem we prove, via the Kolmogorov-Riesz criteria, the existence of solutions. The existence results are established in a specific fractional derivative Banach space and they are illustrated by two numerical examples.MDPI2022-08-11T16:11:58Z2022-06-01T00:00:00Z2022-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/34443eng10.3390/axioms11060295Boucenna, DjalalChidouh, 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:RCAAP2024-02-22T12:05:35Zoai:ria.ua.pt:10773/34443Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:05:24.212389Repositório 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 Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space
title Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space
spellingShingle Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space
Boucenna, Djalal
Fractional differential equations
Boundary value problems
Kolmogorov-Riesz theorem
Fixed point theorems
Nemytskii operator
title_short Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space
title_full Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space
title_fullStr Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space
title_full_unstemmed Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space
title_sort Existence results for a multipoint fractional boundary value problem in the fractional derivative Banach space
author Boucenna, Djalal
author_facet Boucenna, Djalal
Chidouh, Amar
Torres, Delfim F. M.
author_role author
author2 Chidouh, Amar
Torres, Delfim F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Boucenna, Djalal
Chidouh, Amar
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Fractional differential equations
Boundary value problems
Kolmogorov-Riesz theorem
Fixed point theorems
Nemytskii operator
topic Fractional differential equations
Boundary value problems
Kolmogorov-Riesz theorem
Fixed point theorems
Nemytskii operator
description We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations. Using the Krasnosel'skii fixed-point theorem we prove, via the Kolmogorov-Riesz criteria, the existence of solutions. The existence results are established in a specific fractional derivative Banach space and they are illustrated by two numerical examples.
publishDate 2022
dc.date.none.fl_str_mv 2022-08-11T16:11:58Z
2022-06-01T00:00:00Z
2022-06
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/10773/34443
url http://hdl.handle.net/10773/34443
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/axioms11060295
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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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)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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
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