Operator solutions for fractional Fokker-Planck equations.

  title={Operator solutions for fractional Fokker-Planck equations.},
  author={Katarzyna G{\'o}rska and Karol A. Penson and D. Babusci and Giuseppe Dattoli and G{\'e}rard H. E. Duchamp},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={85 3 Pt 1},
  • K. Górska, K. Penson, +2 authors G. Duchamp
  • Published 3 September 2011
  • Mathematics, Medicine, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We obtain exact results for fractional equations of Fokker-Planck type using the evolution operator method. We employ exact forms of one-sided Lévy 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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