Distributed-Order Fractional Kinetics

Details Distributed-Order Fractional Kinetics Distributed-Order Fractional Kinetics

2004-01-09

arxiv.org/abs/cond-mat/0401146v1

Physics

Condensed Matter

Statistical Mechanics

Presented at the 16th Marian Smoluchowski Symposium on Statistical Physics: Fundamentals and Applications, September 6-11, 200

Scientific paper

Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For processes lacking such scaling the corresponding description may be given by distributed-order equations. In the present paper we consider different forms of distributed-order fractional kinetic equations and investigate the effects described by different classes of such equations. In particular, the equations describing accelerating and decelerating subdiffusion, as well as the those describing accelerating and decelerating superdiffusion are presented.

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