Further properties of Osler's generalized fractional integrals and derivatives with respect to another function

Detalhes bibliográficos
Autor(a) principal: Almeida, Ricardo
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/27488
Resumo: In this paper we discuss fractional integrals and fractional derivatives of a function with respect to another function. We present some fundamental properties for both types of fractional operators, such as Taylor’s theorem, Leibniz and semigroup rules. We also provide a numerical tool to deal with these operators, by approximating them with a sum involving integer-order derivatives.
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spelling Further properties of Osler's generalized fractional integrals and derivatives with respect to another functionFractional integralFractional derivativeTaylor’s theoremSemigroup lawExpansion formulasIn this paper we discuss fractional integrals and fractional derivatives of a function with respect to another function. We present some fundamental properties for both types of fractional operators, such as Taylor’s theorem, Leibniz and semigroup rules. We also provide a numerical tool to deal with these operators, by approximating them with a sum involving integer-order derivatives.Rocky Mountain Mathematics Consortium2020-02-05T11:13:39Z2019-01-01T00:00:00Z2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/27488eng0035-759610.1216/RMJ-2019-49-8-2459Almeida, Ricardoinfo: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:RCAAP2024-02-22T11:53:14Zoai:ria.ua.pt:10773/27488Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:00:14.695319Repositório 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 Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
title Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
spellingShingle Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
Almeida, Ricardo
Fractional integral
Fractional derivative
Taylor’s theorem
Semigroup law
Expansion formulas
title_short Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
title_full Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
title_fullStr Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
title_full_unstemmed Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
title_sort Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
author Almeida, Ricardo
author_facet Almeida, Ricardo
author_role author
dc.contributor.author.fl_str_mv Almeida, Ricardo
dc.subject.por.fl_str_mv Fractional integral
Fractional derivative
Taylor’s theorem
Semigroup law
Expansion formulas
topic Fractional integral
Fractional derivative
Taylor’s theorem
Semigroup law
Expansion formulas
description In this paper we discuss fractional integrals and fractional derivatives of a function with respect to another function. We present some fundamental properties for both types of fractional operators, such as Taylor’s theorem, Leibniz and semigroup rules. We also provide a numerical tool to deal with these operators, by approximating them with a sum involving integer-order derivatives.
publishDate 2019
dc.date.none.fl_str_mv 2019-01-01T00:00:00Z
2019
2020-02-05T11:13:39Z
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/10773/27488
url http://hdl.handle.net/10773/27488
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0035-7596
10.1216/RMJ-2019-49-8-2459
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 Rocky Mountain Mathematics Consortium
publisher.none.fl_str_mv Rocky Mountain Mathematics Consortium
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
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