Fractional kinetic hierarchies and intermittency

Abstract

We consider general convolutional derivatives and related fractional statistical dynamics of continuous interacting particle systems. We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. Conditions for the intermittency property of fractional kinetic dynamics are obtained.

To appear in "Kinetic and Related Models"

References in corpus (2)

• Vlasov scaling for stochastic dynamics of continuous systems
• Distributed Order Derivatives and Relaxation Patterns