Existence and uniqueness of solutions to functional integro-differential fractional equations

Detalhes bibliográficos
Autor(a) principal: Ammi, M.R.S.
Data de Publicação: 2012
Outros Autores: El Kinani, E.H., Torres, D.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/10773/11899
Resumo: Using a fixed point theorem in a Banach algebra, we prove an existence result for a fractional functional differential equation in the Riemann- Liouville sense. Dependence of solutions with respect to initial data and an uniqueness result are also obtained.
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spelling Existence and uniqueness of solutions to functional integro-differential fractional equationsFixed point theoremFractional calculusLipschitz conditionRiemann-Liouville operatorUsing a fixed point theorem in a Banach algebra, we prove an existence result for a fractional functional differential equation in the Riemann- Liouville sense. Dependence of solutions with respect to initial data and an uniqueness result are also obtained.Texas State University, Department of Mathematics2014-02-27T13:00:16Z2012-01-01T00:00:00Z2012info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/11899eng1072-6691Ammi, M.R.S.El Kinani, E.H.Torres, D.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:RCAAP2024-02-22T11:21:13Zoai:ria.ua.pt:10773/11899Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:48:05.257930Repositório 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 and uniqueness of solutions to functional integro-differential fractional equations
title Existence and uniqueness of solutions to functional integro-differential fractional equations
spellingShingle Existence and uniqueness of solutions to functional integro-differential fractional equations
Ammi, M.R.S.
Fixed point theorem
Fractional calculus
Lipschitz condition
Riemann-Liouville operator
title_short Existence and uniqueness of solutions to functional integro-differential fractional equations
title_full Existence and uniqueness of solutions to functional integro-differential fractional equations
title_fullStr Existence and uniqueness of solutions to functional integro-differential fractional equations
title_full_unstemmed Existence and uniqueness of solutions to functional integro-differential fractional equations
title_sort Existence and uniqueness of solutions to functional integro-differential fractional equations
author Ammi, M.R.S.
author_facet Ammi, M.R.S.
El Kinani, E.H.
Torres, D.F.M.
author_role author
author2 El Kinani, E.H.
Torres, D.F.M.
author2_role author
author
dc.contributor.author.fl_str_mv Ammi, M.R.S.
El Kinani, E.H.
Torres, D.F.M.
dc.subject.por.fl_str_mv Fixed point theorem
Fractional calculus
Lipschitz condition
Riemann-Liouville operator
topic Fixed point theorem
Fractional calculus
Lipschitz condition
Riemann-Liouville operator
description Using a fixed point theorem in a Banach algebra, we prove an existence result for a fractional functional differential equation in the Riemann- Liouville sense. Dependence of solutions with respect to initial data and an uniqueness result are also obtained.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01T00:00:00Z
2012
2014-02-27T13:00:16Z
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/10773/11899
url http://hdl.handle.net/10773/11899
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1072-6691
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 Texas State University, Department of Mathematics
publisher.none.fl_str_mv Texas State University, Department of Mathematics
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
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