Approximation of fractional integrals by means of derivatives

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/10773/11652
Resumo: We obtain a new decomposition of the Riemann-Liouville operators of fractional integration as a series involving derivatives (of integer order). The new formulas are valid for functions of class C-n, n is an element of N, and allow us to develop suitable numerical approximations with known estimations for the error. The usefulness of the obtained results, in solving fractional integral equations and fractional problems of the calculus of variations, is illustrated.
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spelling Approximation of fractional integrals by means of derivativesFractional integralsNumerical approximationError estimationWe obtain a new decomposition of the Riemann-Liouville operators of fractional integration as a series involving derivatives (of integer order). The new formulas are valid for functions of class C-n, n is an element of N, and allow us to develop suitable numerical approximations with known estimations for the error. The usefulness of the obtained results, in solving fractional integral equations and fractional problems of the calculus of variations, is illustrated.Elsevier2014-01-10T15:20:31Z2012-01-01T00:00:00Z2012info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/11652eng0898-122110.1016/j.camwa.2012.01.068Pooseh, 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:10773/11652Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:46:49.372396Repositório 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 Approximation of fractional integrals by means of derivatives
title Approximation of fractional integrals by means of derivatives
spellingShingle Approximation of fractional integrals by means of derivatives
Pooseh, S.
Fractional integrals
Numerical approximation
Error estimation
title_short Approximation of fractional integrals by means of derivatives
title_full Approximation of fractional integrals by means of derivatives
title_fullStr Approximation of fractional integrals by means of derivatives
title_full_unstemmed Approximation of fractional integrals by means of derivatives
title_sort Approximation of fractional integrals by means of derivatives
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 integrals
Numerical approximation
Error estimation
topic Fractional integrals
Numerical approximation
Error estimation
description We obtain a new decomposition of the Riemann-Liouville operators of fractional integration as a series involving derivatives (of integer order). The new formulas are valid for functions of class C-n, n is an element of N, and allow us to develop suitable numerical approximations with known estimations for the error. The usefulness of the obtained results, in solving fractional integral equations and fractional problems of the calculus of variations, is illustrated.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01T00:00:00Z
2012
2014-01-10T15:20:31Z
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/10773/11652
url http://hdl.handle.net/10773/11652
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0898-1221
10.1016/j.camwa.2012.01.068
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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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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