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Nabla fractional derivative and fractional integral on time scales

Bibliographic Details
Main Author: Gogoi, Bikash
Publication Date: 2021
Other Authors: Saha, Utpal Kumar, Hazarika, Bipan, Torres, Delfim F. M., Ahmad, Hijaz
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/32701
Summary: 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:34:37Zoai:ria.ua.pt:10773/32701Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:13:06.150714Repositórios 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 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 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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instname_str 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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