Fractional central differences and derivatives
Main Author: | |
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Publication Date: | 2008 |
Format: | Article |
Language: | eng |
Source: | Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
Download full: | http://hdl.handle.net/10362/2414 |
Summary: | Journal of Vibration and Control, Vol. 14, Nº 9-10 |
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Fractional central differences and derivativesFractional central differenceFractional central derivativeGrünwald-LetnikovGeneralized Cauchy derivativeJournal of Vibration and Control, Vol. 14, Nº 9-10Fractional 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 PublicationsRUNOrtigueira, M.D.2010-01-14T11:22:18Z20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/2414enginfo: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:RCAAP2024-05-22T17:06:50Zoai:run.unl.pt:10362/2414Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:37:58.399882Repositórios 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, Vol. 14, Nº 9-10 |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008 2008-01-01T00:00:00Z 2010-01-14T11:22:18Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://hdl.handle.net/10362/2414 |
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http://hdl.handle.net/10362/2414 |
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eng |
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eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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SAGE Publications |
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SAGE Publications |
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