Mittag-Leffler function and fractional differential equations
Mathematical Physics
2018-02-27 v1 Statistical Mechanics
math.MP
Abstract
We adopt a procedure of operational-umbral type to solve the -dimensional fractional Fokker-Planck equation in which time fractional derivative of order () 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.
Cite
@article{arxiv.1801.00195,
title = {Mittag-Leffler function and fractional differential equations},
author = {K. Górska and A. Lattanzi and G. Dattoli},
journal= {arXiv preprint arXiv:1801.00195},
year = {2018}
}