Brownian motion fractional Langevin equation

In previous sections, we have treated anomalous relaxation in the context of the fractional Fokker-Planck equation. As far as the Langevin equation treatment of anomalous relaxation is concerned, we proceed first by noting that Lutz [47] has introduced the following fractional Langevin equation for the translational Brownian motion in a potential V ... 

Metzler and Klafter [86] and Metzler [85] have proposed a fractional Klein-Kramers equation (FKKE), which, according to them, corresponds to a multiple trapping picture where the tagged particle executes translational Brownian motion in accordance with the Langevin equation ... 

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