# Distributed-Order Fractional Kinetics

Source: [Distributed-Order Fractional Kinetics](<https://www.sota2.com/research/paper/68fa1e557a2b558e29321bbe>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:45:12.267Z

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

Published: 2004-01-09T15:01:08.000Z

## 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 the those describing accelerating and decelerating superdiffusion are presented.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0401146>)

[PDF](<https://arxiv.org/pdf/cond-mat/0401146.pdf>)