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arXiv · 1004.4053

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

B. I. Henry·T. A. M Langlands·P. Straka
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Abstract

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.

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B. I. Henry, T. A. M Langlands, P. Straka. 2010-04-23. Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces. https://doi.org/10.1103/physrevlett.105.170602

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