Fractional statistical dynamics and fractional kinetics

Abstract

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.

Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=890. arXiv admin note: text overlap with arXiv:1604.03807

References in corpus (3)

• Analytical properties and applications of the Wright function
• Fractional processes: from Poisson to branching one
• Vlasov scaling for stochastic dynamics of continuous systems