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On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator

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dc.contributor.authorCamargo, Rubens de Figueiredo [UNESP]
dc.contributor.authorde Oliveira, E. Capelas
dc.contributor.authorVaz, J.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T13:26:37Z
dc.date.available2014-05-20T13:26:37Z
dc.date.issued2009-12-01
dc.description.abstractThe fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag-Leffler noise. The solution of this FGLE is discussed by means of the Laplace transform methodology and the kernels are presented in terms of the three-parameter Mittag-Leffler functions. Recent results associated with a generalized Langevin equation are recovered.en
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, Fac Ciencias, BR-17033360 São Paulo, Brazil
dc.description.affiliationUniv Estadual Campinas, IMECC, BR-13081970 Campinas, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, Fac Ciencias, BR-17033360 São Paulo, Brazil
dc.format.extent13
dc.identifierhttp://dx.doi.org/10.1063/1.3269587
dc.identifier.citationJournal of Mathematical Physics. Melville: Amer Inst Physics, v. 50, n. 12, p. 13, 2009.
dc.identifier.doi10.1063/1.3269587
dc.identifier.fileWOS000273223900043.pdf
dc.identifier.issn0022-2488
dc.identifier.lattes4894275157982649
dc.identifier.orcid0000-0001-7417-3308
dc.identifier.urihttp://hdl.handle.net/11449/8610
dc.identifier.wosWOS:000273223900043
dc.language.isoeng
dc.publisherAmerican Institute of Physics (AIP)
dc.relation.ispartofJournal of Mathematical Physics
dc.relation.ispartofjcr1.165
dc.relation.ispartofsjr0,644
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectdiffusionen
dc.subjectharmonic oscillatorsen
dc.subjectLaplace transformsen
dc.titleOn anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillatoren
dc.typeArtigo
dcterms.licensehttp://www.aip.org/pubservs/web_posting_guidelines.html
dcterms.rightsHolderAmer Inst Physics
dspace.entity.typePublication
unesp.author.lattes4894275157982649[1]
unesp.author.orcid0000-0001-9510-7350[3]
unesp.author.orcid0000-0001-7417-3308[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Ciências, Baurupt
unesp.departmentMatemática - FCpt

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