Variable-order fractional differential operators in anomalous diffusion modeling

HongGuang Sun, Wen Chen and YangQuan Chen

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 21, 4586-4592

Abstract: The purpose of this paper is to offer a unified discussion of variable-order differential operators in anomalous diffusion modeling. The characteristics of the new models, in contrast to constant-order fractional diffusion models, change with time, space, concentration or other independent quantities. We introduced a classification of variable-order fractional diffusion models based on the possible physical origins which prompt the variable-order. Some potential applications of the variable-order fractional diffusion models are also discussed.

Keywords: Anomalous diffusion; Variable-order fractional differential operator; Probability density function; Complex medium (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (42)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:21:p:4586-4592

DOI: 10.1016/j.physa.2009.07.024

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