Fractional statistical dynamics and fractional kinetics

Authors

  • J. L. Silva CCM, University of Madeira, Campus da Penteada, 9020-105 Funchal, Portugal https://orcid.org/0000-0002-5207-1703
  • Yu. G. Kondratiev Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
  • A. N. Kochubei Department of Mathematics, University of Bielefeld, D-33615 Bielefeld, Germany

DOI:

Keywords:

Configuration space, Caputo derivative, Vlasov-type kinetic equation, correlation functions, Poisson flow

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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Published

2016-09-25

Issue

Vol. 22 No. 3 (2016)

Section

Articles

How to Cite

Silva, J. L., et al. “Fractional Statistical Dynamics and Fractional Kinetics”. Methods of Functional Analysis and Topology, vol. 22, no. 3, Sept. 2016, pp. 197-09, https://zen.imath.kiev.ua/index.php/mfat/article/view/636.