diffusion Fractional Calculus

On fractional diffusion and continuous time random walks

R. Hilfer

Physica A 329, 35 (2003)

submitted on
Thursday, May 22, 2003

A continuous time random walk model is presented with long-tailed waiting time density that approaches a Gaussian distribution in the continuum limit. This example shows that continuous time random walks with long time tails and di!usion equations with a fractional time derivative are in general not asymptotically equivalent.

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