Abstract
The chapter discusses a model for anomalous diffusion processes. Their one-point probability density functions (p.d.f.) are exact solutions of fractional diffusion equations. The model reflects the asymptotic behavior of a jump (anomalous random walk) process with random jump sizes and random inter-jump time intervals with infinite means (and variances) which do not satisfy the law of large numbers. In the case when these intervals have a fractional exponential p.d.f., the fractional Kolmogorov–Feller equation for the corresponding anomalous diffusion is provided and methods of finding its solutions are discussed.
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