Operator solutions for fractional Fokker-Planck equations
Statistical Mechanics
2015-05-30 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1109.0622,
title = {Operator solutions for fractional Fokker-Planck equations},
author = {K. Gorska and K. A. Penson and D. Babusci and G. Dattoli and G. H. E. Duchamp},
journal= {arXiv preprint arXiv:1109.0622},
year = {2015}
}
Comments
4 pages, 3 figures