Publicação: On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
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American Institute of Physics (AIP)
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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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diffusion, harmonic oscillators, Laplace transforms
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Inglês
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Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 50, n. 12, p. 13, 2009.