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Variable-order fractional differential operators in anomalous diffusion modeling

Author

Listed:
  • Sun, HongGuang
  • Chen, Wen
  • Chen, YangQuan

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.

Suggested Citation

  • Sun, HongGuang & Chen, Wen & Chen, YangQuan, 2009. "Variable-order fractional differential operators in anomalous diffusion modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4586-4592.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:21:p:4586-4592
    DOI: 10.1016/j.physa.2009.07.024
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