On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
Carregando...
Data
2009-12-01
Autores
Camargo, Rubens de Figueiredo [UNESP]
de Oliveira, E. Capelas
Vaz, J.
Título da Revista
ISSN da Revista
Título de Volume
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.
Descrição
Palavras-chave
diffusion, harmonic oscillators, Laplace transforms
Como citar
Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 50, n. 12, p. 13, 2009.