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Generalized kinetic equation with spatio-temporal nonlocality

MMC.
2019;
Volume 6, Number 2
: pp. 289–296
https://doi.org/10.23939/mmc2019.02.289
Received: September 05, 2019
Revised: October 12, 2019
Accepted: October 16, 2019

Mathematical Modeling and Computing, Vol. 6, No. 2, pp. 289–296 (2019)

Authors:
  1. P. P. Kostrobij
  2. B. M. Markovych
  3. I. A. Ryzha
  4. M. V. Tokarchuk
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University; Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

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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