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

@article{Camargo2009OnAD,
  title={On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator},
  author={R. F. Camargo and E. C. Oliveira and J. Vaz},
  journal={Journal of Mathematical Physics},
  year={2009},
  volume={50},
  pages={123518}
}
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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