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Variable-order fractional mean square displacement function with evolution of diffusibility

Author

Listed:
  • Yin, Deshun
  • Wang, Yixin
  • Li, Yanqing
  • Cheng, Chen

Abstract

It is a challenging issue to characterize the evolution of diffusibility, which causes some complex diffusion. For the clear physical significance in some parameters of the existing fractional diffusion models, we present a modified fractional diffusion model and then establish the fractional mean square displacement (MSD) functions using a variable-order integration with memory of the order. The comparative analysis and numerical simulation demonstrate that the variable-order MSD function can characterize the evolution of the diffusibility without losing the advantage of fewer parameters.

Suggested Citation

  • Yin, Deshun & Wang, Yixin & Li, Yanqing & Cheng, Chen, 2013. "Variable-order fractional mean square displacement function with evolution of diffusibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4571-4575.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4571-4575
    DOI: 10.1016/j.physa.2013.06.008
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    References listed on IDEAS

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    1. 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.
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