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arxiv: 1604.03807 · v2 · pith:XTZXRD7Znew · submitted 2016-04-13 · 🧮 math-ph · math.MP

Fractional kinetic hierarchies and intermittency

classification 🧮 math-ph math.MP
keywords fractionaldynamicskinetichierarchiesintermittencystatisticalapplyconditions
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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.

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