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  4. Generalized electrodiffusion equation with fractality of space-time

Generalized electrodiffusion equation with fractality of space-time

MMC.
2016;
Volume 3, Number 2
: pp. 163-172
https://doi.org/10.23939/mmc2016.02.163
Revised: December 30, 2016

Math. Model. Comput. Vol. 3, No. 2, pp. 163-172 (2016)

Authors:
  1. P. Kostrobij
  2. B. Markovych
  3. O. Viznovych
  4. M. 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

The new non-Markovian electrodiffusion equations of ions in spatially heterogeneous environment with fractal structure and generalized Cattaneo-type diffusion equation with taking into account fractality of space-time are obtained. Different models of the frequency dependence of memory functions, which lead to known diffusion equations with fractality of space-time and their generalizations are considered.

generalized diffusion equation
nonequilibrium statistical operator
Renyi statistics
multifractal time
spatial fractality
fractality of space-time
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