# American Institute of Mathematical Sciences

September  2017, 10(3): 725-740. doi: 10.3934/krm.2017029

## Fractional kinetic hierarchies and intermittency

 1 Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska 3, Kyiv, 01004, Ukraine 2 Department of Mathematics, University of Bielefeld, D-33615 Bielefeld, Germany

Received  June 2016 Revised  October 2016 Published  December 2016

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.

Citation: Anatoly N. Kochubei, Yuri Kondratiev. Fractional kinetic hierarchies and intermittency. Kinetic & Related Models, 2017, 10 (3) : 725-740. doi: 10.3934/krm.2017029
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