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We present an appraisal of differential-equation models for anomalous diffusion, in which the time evolution of the mean-square displacement is 〈r^2 (t) 〉t^ with 1. By comparison, continuous-time random walks lead via generalized master equations to an integro-differential picture. Using L\'evy walks and a kernel which couples time and space, we obtain a generalized picture for anomalous transport, which provides a unified framework both for dispersive (1).
Klafter et al. (Wed,) studied this question.
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