Caputo–Hadamard fractional derivatives of variable order

Detalhes bibliográficos
Autor(a) principal: Almeida, Ricardo
Data de Publicação: 2017
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/16658
Resumo: In this article, we present three types of Caputo-Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given. At the end, we compare the exact fractional derivative of a concrete example with some numerical approximations.
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spelling Caputo–Hadamard fractional derivatives of variable orderCaputo fractional derivativeExpansion formulasFractional calculusHadamard fractional derivativeVariable fractional orderIn this article, we present three types of Caputo-Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given. At the end, we compare the exact fractional derivative of a concrete example with some numerical approximations.Taylor & Francis2018-07-20T14:00:58Z2017-01-01T00:00:00Z2017-012018-01-01T17:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16658eng0163-056310.1080/01630563.2016.1217880Almeida, 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:RCAAP2024-02-22T11:31:06Zoai:ria.ua.pt:10773/16658Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:51:44.628042Repositório 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 Caputo–Hadamard fractional derivatives of variable order
title Caputo–Hadamard fractional derivatives of variable order
spellingShingle Caputo–Hadamard fractional derivatives of variable order
Almeida, Ricardo
Caputo fractional derivative
Expansion formulas
Fractional calculus
Hadamard fractional derivative
Variable fractional order
title_short Caputo–Hadamard fractional derivatives of variable order
title_full Caputo–Hadamard fractional derivatives of variable order
title_fullStr Caputo–Hadamard fractional derivatives of variable order
title_full_unstemmed Caputo–Hadamard fractional derivatives of variable order
title_sort Caputo–Hadamard fractional derivatives of variable order
author Almeida, Ricardo
author_facet Almeida, Ricardo
author_role author
dc.contributor.author.fl_str_mv Almeida, Ricardo
dc.subject.por.fl_str_mv Caputo fractional derivative
Expansion formulas
Fractional calculus
Hadamard fractional derivative
Variable fractional order
topic Caputo fractional derivative
Expansion formulas
Fractional calculus
Hadamard fractional derivative
Variable fractional order
description In this article, we present three types of Caputo-Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given. At the end, we compare the exact fractional derivative of a concrete example with some numerical approximations.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01T00:00:00Z
2017-01
2018-07-20T14:00:58Z
2018-01-01T17:00:00Z
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/10773/16658
url http://hdl.handle.net/10773/16658
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0163-0563
10.1080/01630563.2016.1217880
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 Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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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