# Operator solutions for fractional Fokker-Planck equations.

@article{Grska2012OperatorSF, 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}, year={2012}, volume={85 3 Pt 1}, pages={ 031138 } }

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.

## 24 Citations

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