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 those describing accelerating and decelerating superdiffusion are presented.
|Number of pages||19|
|Journal||Acta Physica Polonica B|
|State||Published - Apr 2004|
|Event||XVI Marian Smoluchowski Symposium on Statistical Physics - Zakopane, Poland|
Duration: 6 Sep 2003 → 11 Sep 2003