A.V.Chechkin
Received March 6, 1999
For the Levy motion we derive fractional Fokker-Planck equation
and fractional Einstein-Smoluchowski equation. We also derive generalized
diffusion flow and get solutions of the kinetic equations in simplest
cases, namely, (a) phase-space relaxation without an external field,
and (b) stationary distribution of the Levy particles above the reflecting
boundary in gravitation field. The obtained solutions generalize the
known ones for the Brownian motion.