Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces

B. I. Henry, T. A. M Langlands, P. Straka

Published 2010-04-23Version 1

We have derived a fractional Fokker-Planck equation for subdiffusion in a general space-and- time-dependent force field from power law waiting time continuous time random walks biased by Boltzmann weights. The governing equation is derived from a generalized master equation and is shown to be equivalent to a subordinated stochastic Langevin equation.