Nabla fractional derivative and fractional integral on time scales
Autor(a) principal: | |
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Data de Publicação: | 2021 |
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/10773/32701 |
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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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 |
format |
article |
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 |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
MDPI |
publisher.none.fl_str_mv |
MDPI |
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 |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
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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