Boundary value problems of fractional Fokker-Planck equations

This paper is devoted to solving boundary value problems for important fractional differential equations of the Fokker-Planck family, in particular, to studying fractional differential equation for advection-dispersion. The consideration is carried out by the separation of variables (the Fourier method). Most part of this paper is devoted to justification of this method, to proof of a basis of the system of eigenfunctions for the basic equation (Aleroev et al., 2015) for modeling the random walk of a point particle which starts to move at the origin of coordinates in t=0 on a self-similar fractal set.