Riesz potential operators and inverses via fractional centred derivatives

Detalhes bibliográficos
Autor(a) principal: Ortigueira, M.D.
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/2588
Resumo: International Journal of Mathematics and Mathematical Sciences, Vol.2006
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spelling Riesz potential operators and inverses via fractional centred derivativesInternational Journal of Mathematics and Mathematical Sciences, Vol.2006Fractional centred differences and derivatives definitions are proposed, generalizing to real orders the existing ones valid for even and odd positive integer orders. For each one, suitable integral formulations are obtained. The computations of the involved integrals lead to new generalizations of the Cauchy integral derivative. To compute this integral, a special two-straight-line path was used. With this the referred integrals lead to the wellknown Riesz potential operators and their inverses that emerge as true fractional centred derivatives, but that can be computed through summations similar to the well-known Gr¨unwald-Letnikov derivatives.Hindawi Publishing CorporationRUNOrtigueira, M.D.2010-02-03T10:52:38Z2006-052006-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/2588enginfo: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:RCAAP2024-03-11T03:32:49Zoai:run.unl.pt:10362/2588Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:15:13.145751Repositório 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 Riesz potential operators and inverses via fractional centred derivatives
title Riesz potential operators and inverses via fractional centred derivatives
spellingShingle Riesz potential operators and inverses via fractional centred derivatives
Ortigueira, M.D.
title_short Riesz potential operators and inverses via fractional centred derivatives
title_full Riesz potential operators and inverses via fractional centred derivatives
title_fullStr Riesz potential operators and inverses via fractional centred derivatives
title_full_unstemmed Riesz potential operators and inverses via fractional centred derivatives
title_sort Riesz potential operators and inverses via fractional centred derivatives
author Ortigueira, M.D.
author_facet Ortigueira, M.D.
author_role author
dc.contributor.none.fl_str_mv RUN
dc.contributor.author.fl_str_mv Ortigueira, M.D.
description International Journal of Mathematics and Mathematical Sciences, Vol.2006
publishDate 2006
dc.date.none.fl_str_mv 2006-05
2006-05-01T00:00:00Z
2010-02-03T10:52:38Z
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/10362/2588
url http://hdl.handle.net/10362/2588
dc.language.iso.fl_str_mv eng
language eng
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 Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
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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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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