Fractional Klein Kramers equation diffusion

We remark that all the results of this section are obtained by using the B ark ai-Si I bey [30] fractional form of the Klein-Kramers equation for the evolution of the probability distribution function in phase space. In that equation, the fractional derivative, or memory term, acts only on the right-hand side—that is, on the diffusion or dissipative term. Thus, the form of the Liouville operator, or convective derivative, is preserved [cf. the right-hand side... 

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