Fractional Klein Kramers equation

V. The Fractional Klein-Kramers Equation Fractional Dynamics in Phase Space... [Pg.224]

V. THE FRACTIONAL KLEIN-KRAMERS EQUATION FRACTIONAL DYNAMICS IN PHASE SPACE... [Pg.250]

Fractional dynamics emerges as the macroscopic limit of the combination of the Langevin and the trapping processes. After straightforward calculations based on the continuous-time version of the Chapman-Kolmogorov equation [75, 114] which are valid in the long-time limit t max r, t, one obtains the fractional Klein-Kramers equation... [Pg.252]

The integration of the fractional Klein-Kramers equation (69) over the position coordinate leads in, the force-free limit, to the fractional Rayleigh equation... [Pg.253]

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