A conformable fractional calculus on arbitrary time scales

Detalhes bibliográficos
Autor(a) principal: Benkhettou, Nadia
Data de Publicação: 2016
Outros Autores: Hassani, Salima, Torres, Delfim F.M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10773/16617
Resumo: A conformable time-scale fractional calculus of order α. ∈]0, 1] is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing α. =. 1. © 2015 The Authors.
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spelling A conformable fractional calculus on arbitrary time scalesCalculus on time scalesConformable operatorsFractional calculusA conformable time-scale fractional calculus of order α. ∈]0, 1] is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing α. =. 1. © 2015 The Authors.Elsevier2017-01-10T10:19:26Z2016-01-01T00:00:00Z2016-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16617eng1018-364710.1016/j.jksus.2015.05.003Benkhettou, NadiaHassani, SalimaTorres, 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:10773/16617Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:53:31.688302Repositórios 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 A conformable fractional calculus on arbitrary time scales
title A conformable fractional calculus on arbitrary time scales
spellingShingle A conformable fractional calculus on arbitrary time scales
Benkhettou, Nadia
Calculus on time scales
Conformable operators
Fractional calculus
title_short A conformable fractional calculus on arbitrary time scales
title_full A conformable fractional calculus on arbitrary time scales
title_fullStr A conformable fractional calculus on arbitrary time scales
title_full_unstemmed A conformable fractional calculus on arbitrary time scales
title_sort A conformable fractional calculus on arbitrary time scales
author Benkhettou, Nadia
author_facet Benkhettou, Nadia
Hassani, Salima
Torres, Delfim F.M.
author_role author
author2 Hassani, Salima
Torres, Delfim F.M.
author2_role author
author
dc.contributor.author.fl_str_mv Benkhettou, Nadia
Hassani, Salima
Torres, Delfim F.M.
dc.subject.por.fl_str_mv Calculus on time scales
Conformable operators
Fractional calculus
topic Calculus on time scales
Conformable operators
Fractional calculus
description A conformable time-scale fractional calculus of order α. ∈]0, 1] is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing α. =. 1. © 2015 The Authors.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2016-01
2017-01-10T10:19:26Z
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/10773/16617
url http://hdl.handle.net/10773/16617
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1018-3647
10.1016/j.jksus.2015.05.003
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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