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. © 2012 American Physical Society.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 26 Mar 2012|
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability
Górska, K., Penson, K. A., Babusci, D., Dattoli, G., & Duchamp, G. H. E. (2012). Operator solutions for fractional Fokker-Planck equations. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 85(3), -. . https://doi.org/10.1103/PhysRevE.85.031138