Operator solutions for fractional Fokker-Planck equations

Details Operator solutions for fractional Fokker-Planck equations Operator solutions for fractional Fokker-Planck equations

2011-09-03

arxiv.org/abs/1109.0622v2

Phys. Rev. E 85, 031138 (2012)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

We obtain exact results for fractional equations of Fokker-Planck type using
evolution operator method. We employ exact forms of one-sided Levy stable
distributions to generate a set of self-reproducing solutions. Explicit cases
are reported and studied for various fractional order of derivatives, different
initial conditions, and for different versions of Fokker-Planck operators.

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