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|Type:||Artigo de periódico|
|Title:||Solution of the fractional Langevin equation and the Mittag-Leffler functions|
de Oliveira, EC
|Abstract:||We introduce the fractional generalized Langevin equation in the absence of a deterministic field, with two deterministic conditions for a particle with unitary mass, i.e., an initial condition and an initial velocity are considered. For a particular correlation function, that characterizes the physical process, and using the methodology of the Laplace transform, we obtain the solution in terms of the three-parameter Mittag-Leffler function. As particular cases, some recent results are also presented. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3152608]|
|Editor:||Amer Inst Physics|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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