Distributed-order fractional kinetics

I. M. Sokolov*, A. V. Chechkin, J. Klafter

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Pages (from-to)1323-1341
Number of pages19
JournalActa Physica Polonica B
Issue number4
StatePublished - Apr 2004
EventXVI Marian Smoluchowski Symposium on Statistical Physics - Zakopane, Poland
Duration: 6 Sep 200311 Sep 2003


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