Fractional central differences and derivatives

Bibliographic Details
Main Author: Ortigueira, M.D.
Publication Date: 2006
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10362/4325
Summary: Journal of Vibration and Control, 14(9–10): 1255–1266, 2008
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spelling Fractional central differences and derivativesFractional central differenceFractional central derivativeGrünwald-LetnikovGeneralized Cauchy derivativeJournal of Vibration and Control, 14(9–10): 1255–1266, 2008Fractional 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.SAGERUNOrtigueira, M.D.2010-11-22T09:52:56Z20062006-01-01T00:00:00Zconference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10362/4325enginfo: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:RCAAP2024-05-22T17:07:43Zoai:run.unl.pt:10362/4325Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:38:32.855751Repositórios 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 Fractional central differences and derivatives
title Fractional central differences and derivatives
spellingShingle Fractional central differences and derivatives
Ortigueira, M.D.
Fractional central difference
Fractional central derivative
Grünwald-Letnikov
Generalized Cauchy derivative
title_short Fractional central differences and derivatives
title_full Fractional central differences and derivatives
title_fullStr Fractional central differences and derivatives
title_full_unstemmed Fractional central differences and derivatives
title_sort 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 Journal of Vibration and Control, 14(9–10): 1255–1266, 2008
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-01-01T00:00:00Z
2010-11-22T09:52:56Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/4325
url http://hdl.handle.net/10362/4325
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 SAGE
publisher.none.fl_str_mv SAGE
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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