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

Bibliographic Details
Main Author: Benkhettou, Nadia
Publication Date: 2016
Other Authors: Hammoudi, Ahmed, Torres, Delfim F.M.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16633
Summary: 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:59:10Zoai:ria.ua.pt:10773/16633Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:53:31.576627Repositórios 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 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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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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