Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions

We consider the d=1 nonlinear Fokker-Planck-like equation with fractional derivatives (partial derivative/partial derivative t)P(x,t) =D(partial derivative(gamma)/partial derivative x(gamma))[P(x,t)](nu). Exact time-dependent solutions are found for nu=(2- gamma)/(1 + gamma)(-infinity< y less than or equal to 2). By considering the long-distance asymptotic behavior of these solutions, a connection is established, namely, q =(gamma+ 3)/(y + 1)(0