Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative

Detalhes bibliográficos
Autor(a) principal: Pooseh, S.
Data de Publicação: 2012
Outros Autores: Almeida, R., Torres, D. F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/11653
Resumo: We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.
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spelling Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivativeFractional CalculusHadamard fractional integralsHadamard fractional derivativesNumerical approximationsWe obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.Taylor & Francis2014-01-10T16:05:10Z2012-02-01T00:00:00Z2012-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/10773/11653eng0163-056310.1080/01630563.2011.647197Pooseh, S.Almeida, R.Torres, D. F. M.info: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:RCAAP2024-02-22T11:17:42Zoai:ria.ua.pt:10773/11653Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:46:49.464724Repositório 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 Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
title Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
spellingShingle Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
Pooseh, S.
Fractional Calculus
Hadamard fractional integrals
Hadamard fractional derivatives
Numerical approximations
title_short Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
title_full Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
title_fullStr Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
title_full_unstemmed Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
title_sort Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
author Pooseh, S.
author_facet Pooseh, S.
Almeida, R.
Torres, D. F. M.
author_role author
author2 Almeida, R.
Torres, D. F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Pooseh, S.
Almeida, R.
Torres, D. F. M.
dc.subject.por.fl_str_mv Fractional Calculus
Hadamard fractional integrals
Hadamard fractional derivatives
Numerical approximations
topic Fractional Calculus
Hadamard fractional integrals
Hadamard fractional derivatives
Numerical approximations
description We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.
publishDate 2012
dc.date.none.fl_str_mv 2012-02-01T00:00:00Z
2012-02
2014-01-10T16:05:10Z
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/10773/11653
url http://hdl.handle.net/10773/11653
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0163-0563
10.1080/01630563.2011.647197
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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