FRACTIONAL STATISTICAL DYNAMICS AND FRACTIONAL KINETICS

da Silva JL, Kochubei AN, Kondratiev Y. FRACTIONAL STATISTICAL DYNAMICS AND FRACTIONAL KINETICS. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY. 2016;22(3):197-209.We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obtain the evolution of the density of particles in the fractional kinetics in terms of a non-linear Vlasov-type kinetic equation. As an application we study the intermittency of the fractional mesoscopic dynamics