Variable-order fractional differential operators in anomalous diffusion modeling

  • Sun H
  • Chen W
  • Chen Y
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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. © 2009 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Anomalous diffusion
  • Complex medium
  • Probability density function
  • Variable-order fractional differential operator

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