On the fractional central differences and derivatives

Bibliographic Details
Main Author: Ortigueira, M.D.
Publication Date: 2008
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10362/1718
Summary: 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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spelling 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-22T17:06:21Zoai:run.unl.pt:10362/1718Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:37:12.850758Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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