Article ID Journal Published Year Pages File Type
977646 Physica A: Statistical Mechanics and its Applications 2008 8 Pages PDF
Abstract

Using the generalized Kolmogorov–Feller equation with long-range interaction, we obtain kinetic equations with fractional derivatives with respect to coordinates. The method of successive approximations, with averaging with respect to a fast variable, is used. The main assumption is that the correlation function of probability densities of particles to make a step has a power-law dependence. As a result, we obtain a Fokker–Planck equation with fractional coordinate derivative of order 1<α<21<α<2.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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