Distributed-order fractional kinetics

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

Research output: Contribution to journalConference articlepeer-review

Abstract

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
Volume35
Issue number4
StatePublished - Apr 2004
EventXVI Marian Smoluchowski Symposium on Statistical Physics - Zakopane, Poland
Duration: 6 Sep 200311 Sep 2003

Fingerprint

Dive into the research topics of 'Distributed-order fractional kinetics'. Together they form a unique fingerprint.

Cite this