Brownian motion fractional Klein Kramers equation

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 ... 

Lutz also compared his results with those predicted by the fractional Klein-Kramers equation for the probability density function/(x, v, f) in phase space for the inertia-corrected one-dimensional translational Brownian motion in a potential Eof Barkai and Silbey [30], which in the present context is... 

The above stochastic collision model then leads to a generalization of the Fokker Planck equation for the evolution of the phase distribution function for mechanical particles [51] known as the fractional Klein Kramers equation where the velocities acquire a fractional character [13]. We shall now describe how this equation may be used in the context of rotational Brownian motion. As... 

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