Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales

Detalhes bibliográficos
Autor(a) principal: Benkhettou, Nadia
Data de Publicação: 2016
Outros Autores: Hammoudi, Ahmed, 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/10773/16633
Resumo: We introduce the concept of fractional derivative of Riemann-Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time scale. © 2015 The Authors.
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spelling Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scalesDynamic equationsFractional derivativesInitial value problemsTime scalesWe introduce the concept of fractional derivative of Riemann-Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time scale. © 2015 The Authors.Elsevier2017-01-10T13:43:02Z2016-01-01T00:00:00Z2016-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16633eng1018-364710.1016/j.jksus.2015.08.001Benkhettou, NadiaHammoudi, AhmedTorres, 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:RCAAP2024-02-22T11:31:09Zoai:ria.ua.pt:10773/16633Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:51:45.435564Repositório 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 solution for a fractional Riemann-Liouville initial value problem on time scales
title Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
spellingShingle Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
Benkhettou, Nadia
Dynamic equations
Fractional derivatives
Initial value problems
Time scales
title_short Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
title_full Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
title_fullStr Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
title_full_unstemmed Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
title_sort Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
author Benkhettou, Nadia
author_facet Benkhettou, Nadia
Hammoudi, Ahmed
Torres, Delfim F.M.
author_role author
author2 Hammoudi, Ahmed
Torres, Delfim F.M.
author2_role author
author
dc.contributor.author.fl_str_mv Benkhettou, Nadia
Hammoudi, Ahmed
Torres, Delfim F.M.
dc.subject.por.fl_str_mv Dynamic equations
Fractional derivatives
Initial value problems
Time scales
topic Dynamic equations
Fractional derivatives
Initial value problems
Time scales
description We introduce the concept of fractional derivative of Riemann-Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time scale. © 2015 The Authors.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2016-01
2017-01-10T13:43:02Z
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/10773/16633
url http://hdl.handle.net/10773/16633
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1018-3647
10.1016/j.jksus.2015.08.001
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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