On the fractional central differences and derivatives
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10362/1718 |
Resumo: | Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials. The coherence of these definitions is studied by applying the definitions to functions with Fourier transformable functions. Some properties of these derivatives are presented and particular cases studied. |
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On the fractional central differences and derivativesFractional central differencefractional central derivativeGrünwald-Letnikovgeneralized Cauchy derivativeFractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials. The coherence of these definitions is studied by applying the definitions to functions with Fourier transformable functions. Some properties of these derivatives are presented and particular cases studied.Sage journalsRUNOrtigueira, M.D.2008-10-29T11:56:44Z2008-042008-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/1718engJournal of Vibration and Control, 14(9–10): 1255–1266, 2008.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:RCAAP2024-03-11T03:31:43Zoai:run.unl.pt:10362/1718Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:14:49.154194Repositório 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 |
On the fractional central differences and derivatives |
title |
On the fractional central differences and derivatives |
spellingShingle |
On the fractional central differences and derivatives Ortigueira, M.D. Fractional central difference fractional central derivative Grünwald-Letnikov generalized Cauchy derivative |
title_short |
On the fractional central differences and derivatives |
title_full |
On the fractional central differences and derivatives |
title_fullStr |
On the fractional central differences and derivatives |
title_full_unstemmed |
On the fractional central differences and derivatives |
title_sort |
On the fractional central differences and 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. |
dc.subject.por.fl_str_mv |
Fractional central difference fractional central derivative Grünwald-Letnikov generalized Cauchy derivative |
topic |
Fractional central difference fractional central derivative Grünwald-Letnikov generalized Cauchy derivative |
description |
Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials. The coherence of these definitions is studied by applying the definitions to functions with Fourier transformable functions. Some properties of these derivatives are presented and particular cases studied. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-10-29T11:56:44Z 2008-04 2008-04-01T00:00:00Z |
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/10362/1718 |
url |
http://hdl.handle.net/10362/1718 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Vibration and Control, 14(9–10): 1255–1266, 2008. |
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 |
Sage journals |
publisher.none.fl_str_mv |
Sage journals |
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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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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 |
repository.mail.fl_str_mv |
|
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1799137801011200000 |