Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions

We obtain new exact classes of solutions for the nonlinear fractional Fokker-Planck-like equation partial derivative(1)rho = partial derivative(x)(D(x)partial derivative(x)(mu-1) rho(v)- F(x)rho} by considering a diffusion coefficient D - D\x\(-0) (theta is an element of R and D > 0) and a drift force F = -k(1)x + (k) over bar (gamma)x\x\(v-1) (k(1), (k) over bar (gamma), gamma is an element of R). Connection with nonextcrisive statistical mechanics based on Tsallis entropy is also discussed. (C) 2002 Elsevier Science B.V. All rights reserved.