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

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Data

2009-12-01

Autores

Camargo, Rubens de Figueiredo [UNESP]
de Oliveira, E. Capelas
Vaz, J.

Título da Revista

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Editor

American Institute of Physics (AIP)

Resumo

The 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.

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Palavras-chave

diffusion, harmonic oscillators, Laplace transforms

Como citar

Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 50, n. 12, p. 13, 2009.