Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels

Detalhes bibliográficos
Autor(a) principal: Zine, Houssine
Data de Publicação: 2022
Outros Autores: Lotfi, El Mehdi, Torres, Delfim F. M., Yousfi, Noura
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/34318
Resumo: We prove a new Taylor’s theorem for generalized weighted fractional calculus with nonsingular kernels. The proof is based on the establishment of new relations for nth-weighted generalized fractional integrals and derivatives. As an application, new mean value theorems for generalized weighted fractional operators are obtained. Direct corollaries allow one to obtain the recent Taylor’s and mean value theorems for Caputo–Fabrizio, Atangana–Baleanu–Caputo (ABC) and weighted ABC derivatives.
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spelling Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernelsGeneralized weighted fractional derivativesNonsingular kernelsTaylor’s formulaMean value theoremsWe prove a new Taylor’s theorem for generalized weighted fractional calculus with nonsingular kernels. The proof is based on the establishment of new relations for nth-weighted generalized fractional integrals and derivatives. As an application, new mean value theorems for generalized weighted fractional operators are obtained. Direct corollaries allow one to obtain the recent Taylor’s and mean value theorems for Caputo–Fabrizio, Atangana–Baleanu–Caputo (ABC) and weighted ABC derivatives.MDPI2022-07-27T09:05:35Z2022-05-01T00:00:00Z2022-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/34318eng2075-168010.3390/axioms11050231Zine, HoussineLotfi, El MehdiTorres, Delfim F. M.Yousfi, Nourainfo: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:RCAAP2024-02-22T12:05:13Zoai:ria.ua.pt:10773/34318Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:05:13.785111Repositório 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 Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels
title Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels
spellingShingle Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels
Zine, Houssine
Generalized weighted fractional derivatives
Nonsingular kernels
Taylor’s formula
Mean value theorems
title_short Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels
title_full Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels
title_fullStr Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels
title_full_unstemmed Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels
title_sort Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels
author Zine, Houssine
author_facet Zine, Houssine
Lotfi, El Mehdi
Torres, Delfim F. M.
Yousfi, Noura
author_role author
author2 Lotfi, El Mehdi
Torres, Delfim F. M.
Yousfi, Noura
author2_role author
author
author
dc.contributor.author.fl_str_mv Zine, Houssine
Lotfi, El Mehdi
Torres, Delfim F. M.
Yousfi, Noura
dc.subject.por.fl_str_mv Generalized weighted fractional derivatives
Nonsingular kernels
Taylor’s formula
Mean value theorems
topic Generalized weighted fractional derivatives
Nonsingular kernels
Taylor’s formula
Mean value theorems
description We prove a new Taylor’s theorem for generalized weighted fractional calculus with nonsingular kernels. The proof is based on the establishment of new relations for nth-weighted generalized fractional integrals and derivatives. As an application, new mean value theorems for generalized weighted fractional operators are obtained. Direct corollaries allow one to obtain the recent Taylor’s and mean value theorems for Caputo–Fabrizio, Atangana–Baleanu–Caputo (ABC) and weighted ABC derivatives.
publishDate 2022
dc.date.none.fl_str_mv 2022-07-27T09:05:35Z
2022-05-01T00:00:00Z
2022-05
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/10773/34318
url http://hdl.handle.net/10773/34318
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2075-1680
10.3390/axioms11050231
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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str 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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