Nabla fractional derivative and fractional integral on time scales

Detalhes bibliográficos
Autor(a) principal: Gogoi, Bikash
Data de Publicação: 2021
Outros Autores: Saha, Utpal Kumar, Hazarika, Bipan, Torres, Delfim F. M., Ahmad, Hijaz
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/32701
Resumo: In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.
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spelling Nabla fractional derivative and fractional integral on time scalesFractional calculusGrünwald–Letnikov derivativeRiemann–Liouville derivativeTime scales calculusNabla derivativeNabla integralIn this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.MDPI2021-12-03T17:16:33Z2021-12-01T00:00:00Z2021-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/32701eng10.3390/axioms10040317Gogoi, BikashSaha, Utpal KumarHazarika, BipanTorres, Delfim F. M.Ahmad, Hijazinfo: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:RCAAP2024-02-22T12:02:50Zoai:ria.ua.pt:10773/32701Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:13.673533Repositório 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 Nabla fractional derivative and fractional integral on time scales
title Nabla fractional derivative and fractional integral on time scales
spellingShingle Nabla fractional derivative and fractional integral on time scales
Gogoi, Bikash
Fractional calculus
Grünwald–Letnikov derivative
Riemann–Liouville derivative
Time scales calculus
Nabla derivative
Nabla integral
title_short Nabla fractional derivative and fractional integral on time scales
title_full Nabla fractional derivative and fractional integral on time scales
title_fullStr Nabla fractional derivative and fractional integral on time scales
title_full_unstemmed Nabla fractional derivative and fractional integral on time scales
title_sort Nabla fractional derivative and fractional integral on time scales
author Gogoi, Bikash
author_facet Gogoi, Bikash
Saha, Utpal Kumar
Hazarika, Bipan
Torres, Delfim F. M.
Ahmad, Hijaz
author_role author
author2 Saha, Utpal Kumar
Hazarika, Bipan
Torres, Delfim F. M.
Ahmad, Hijaz
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Gogoi, Bikash
Saha, Utpal Kumar
Hazarika, Bipan
Torres, Delfim F. M.
Ahmad, Hijaz
dc.subject.por.fl_str_mv Fractional calculus
Grünwald–Letnikov derivative
Riemann–Liouville derivative
Time scales calculus
Nabla derivative
Nabla integral
topic Fractional calculus
Grünwald–Letnikov derivative
Riemann–Liouville derivative
Time scales calculus
Nabla derivative
Nabla integral
description In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.
publishDate 2021
dc.date.none.fl_str_mv 2021-12-03T17:16:33Z
2021-12-01T00:00:00Z
2021-12
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/32701
url http://hdl.handle.net/10773/32701
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/axioms10040317
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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publisher.none.fl_str_mv MDPI
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