Fractional kinetic hierarchies and intermittency
  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. 
Anatoly N. Kochubei and Yuri Kondratiev
math-ph math.MP