Existence and uniqueness of solutions to functional integro-differential fractional equations
Autor(a) principal: | |
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Data de Publicação: | 2012 |
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/10773/11899 |
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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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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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 |
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1799137532098641920 |