We adopt a procedure of operational-umbral type to solve the (1 + 1)-dimensional fractional Fokker-Planck equation in which time fractional derivative of order α (0 < α < 1) is in the Riemann-Liouville sense. The technique we propose merges well documented operational methods to solve ordinary FP equation and a redefinition of the time by means of an umbral operator. We show that the proposed method allows significant progress including the handling of operator ordering.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Górska, K., Lattanzi, A., & Dattoli, G. (2018). Mittag-Leffler function and fractional differential equations. Fractional Calculus and Applied Analysis, 21(1), 220 - 236. https://doi.org/10.1515/fca-2018-0014