Publication: Fractional statistical dynamics and fractional kinetics
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Date
Authors
Silva, José Luís da
Kochubei, Anatoly N.
Kondratiev, Yuri
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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.
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Keywords
Configuration space, Caputo derivative, Vlasov-type kinetic equation, correlation functions, Poisson flow
Citation
José Luís da Silva. Fractional statistical dynamics and fractional kinetics / J. L. da Silva, A. N. Kochubei, Yu. Kondratiev // Methods of Functional Analysis and Topology : Quarterly journal. – 2016. - Vol. 22, № 3. - pp. 197-209.