# Fractional statistical dynamics and fractional kinetics

Source: [Fractional statistical dynamics and fractional kinetics](<https://www.sota2.com/research/paper/68fa34961e209131ce89a223>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:44:43.644Z

Authors: Jose Luis da Silva, Anatoly N. Kochubei, Yuri Kondratiev

Published: 2016-04-13T14:51:07.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1604.03816>)

[PDF](<https://arxiv.org/pdf/1604.03816.pdf>)