On the relation between the fractional Brownian motion and the fractional derivatives
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10362/2416 |
Resumo: | Physics Letters A, vol. 372; Issue 7 |
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On the relation between the fractional Brownian motion and the fractional derivativesForward and backward fractional derivativesGeneralised Cauchy derivativeLiouville derivativeDifferintegrationCentral fractional derivativesFractional stochastic processFractional Brownian motionPhysics Letters A, vol. 372; Issue 7The definition and simulation of fractional Brownian motion are considered from the point of view of a set of coherent fractional derivative definitions. To do it, two sets of fractional derivatives are considered: (a) the forward and backward and (b) the central derivatives, together with two representations: generalised difference and integral. It is shown that for these derivatives the corresponding autocorrelation functions have the same representations. The obtained results are used to define a fractional noise and, from it, the fractional Brownian motion. This is studied. The simulation problem is also considered.Elsevier B.V.RUNOrtigueira, M.D.Batista, A. G.2010-01-14T12:07:16Z2008-082008-08-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/2416eng0375-9601info: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:RCAAP2024-03-11T03:32:36Zoai:run.unl.pt:10362/2416Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:15:08.268348Repositório 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 relation between the fractional Brownian motion and the fractional derivatives |
title |
On the relation between the fractional Brownian motion and the fractional derivatives |
spellingShingle |
On the relation between the fractional Brownian motion and the fractional derivatives Ortigueira, M.D. Forward and backward fractional derivatives Generalised Cauchy derivative Liouville derivative Differintegration Central fractional derivatives Fractional stochastic process Fractional Brownian motion |
title_short |
On the relation between the fractional Brownian motion and the fractional derivatives |
title_full |
On the relation between the fractional Brownian motion and the fractional derivatives |
title_fullStr |
On the relation between the fractional Brownian motion and the fractional derivatives |
title_full_unstemmed |
On the relation between the fractional Brownian motion and the fractional derivatives |
title_sort |
On the relation between the fractional Brownian motion and the fractional derivatives |
author |
Ortigueira, M.D. |
author_facet |
Ortigueira, M.D. Batista, A. G. |
author_role |
author |
author2 |
Batista, A. G. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
RUN |
dc.contributor.author.fl_str_mv |
Ortigueira, M.D. Batista, A. G. |
dc.subject.por.fl_str_mv |
Forward and backward fractional derivatives Generalised Cauchy derivative Liouville derivative Differintegration Central fractional derivatives Fractional stochastic process Fractional Brownian motion |
topic |
Forward and backward fractional derivatives Generalised Cauchy derivative Liouville derivative Differintegration Central fractional derivatives Fractional stochastic process Fractional Brownian motion |
description |
Physics Letters A, vol. 372; Issue 7 |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-08 2008-08-01T00:00:00Z 2010-01-14T12:07:16Z |
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/10362/2416 |
url |
http://hdl.handle.net/10362/2416 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0375-9601 |
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 |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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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