A coherent approach to non-integer order derivatives
| Autor(a) principal: | |
|---|---|
| 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/10362/2586 |
Resumo: | Signal Processing, vol. 86, nº 10 |
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A coherent approach to non-integer order derivativesSignal Processing, vol. 86, nº 10The relation showing that the Gru¨ nwald-Letnikov and generalised Cauchy derivatives are equal is presented. This establishes a bridge between two different formulations and simultaneously between the classic integer order derivatives and the fractional ones. Starting from the generalised Cauchy derivative formula, new relations are obtained, namely a regularised version that makes the concept of pseudo-function appear naturally without the need for a rejection of any infinite part. From the regularised derivative, new formulations are deduced and specialised first for the real functions and afterwards for functions with Laplace transforms obtaining the definitions proposed by Liouville. With these tools suitable definitions of fractional linear systems are obtained.Elsevier B.V.RUNOrtigueira, M.D.2010-02-03T10:00:48Z2006-032006-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/2586eng0165-1684info: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:10362/2586Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:15:13.062435Repositório 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 |
A coherent approach to non-integer order derivatives |
| title |
A coherent approach to non-integer order derivatives |
| spellingShingle |
A coherent approach to non-integer order derivatives Ortigueira, M.D. |
| title_short |
A coherent approach to non-integer order derivatives |
| title_full |
A coherent approach to non-integer order derivatives |
| title_fullStr |
A coherent approach to non-integer order derivatives |
| title_full_unstemmed |
A coherent approach to non-integer order derivatives |
| title_sort |
A coherent approach to non-integer order 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 |
Signal Processing, vol. 86, nº 10 |
| publishDate |
2006 |
| dc.date.none.fl_str_mv |
2006-03 2006-03-01T00:00:00Z 2010-02-03T10:00:48Z |
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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/10362/2586 |
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http://hdl.handle.net/10362/2586 |
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eng |
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eng |
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0165-1684 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Elsevier B.V. |
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Elsevier B.V. |
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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 |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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