16.01.2013
Katarzyna Gorska
(IBJ Krakow)


We present the Mellin transform as a tool of solving fractional Fokker-Planck (FFP) equations 
and the generalized heat equations. The solutions involve exact and explicit expressions for Levy stable
probability distributions (for FPP) and signed Levy functions for heat equations. They enter exact forms of integral
kernels pertaining to these equations. We examine analytically and graphically the spatial 
and temporary evolution of particular solutions form simple initial conditions.