Generalized kinetic equation with spatio-temporal nonlocality

A non-Markov kinetic equation with fractional derivatives for a nonequilibrium one-particle distribution function is obtained.  The resulting equation contains the generalized diffusion and friction coefficients in the space of coordinates and momentums of particles.  This equation can be used, in particular, for mathematical modeling of kinetic processes of particle transport in porous media with fractal structure.

kinetic equation
spatio-temporal nonlocality
nonequilibrium distribution function
Renyi statistics
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