Generalized Fokker–Planck equation for the distribution function of liquidity accumulation

2019;
: pp. 37-43
https://doi.org/10.23939/mmc2019.01.037
Received: March 03, 2019
Revised: April 23, 2019
Accepted: April 30, 2019
1
Lviv Polytechnic National University
2
Member of the Accounting Chamber
3
Lviv Polytechnic National University; Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

By means of the method of Zubarev's nonequilibrium statistical operator, the generalized Fokker--Planck equation for the distribution function of liquidity accumulations has been obtained.  The generalized velocity and transport kernels describing dynamic correlations between liquidity accumulations of different categories of families have been determined.  The system of non-Markov transport equations for non-equilibrium average values of liquidity accumulations for different categories of families has been obtained.  Memory effects have been analyzed using the fractional calculus, which has led to a system of transport equations for non-equilibrium average values of liquidity accumulations for different categories of families in fractional derivatives.

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Math. Model. Comput. Vol.6, No.1, pp.37-43 (2019)