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

Deshun Yin, Yixin Wang, Yanqing Li and Chen Cheng

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 19, 4571-4575

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.

Keywords: Mean square displacement; Variable-order fractional operator; Evolution of diffusibility; Memory of order (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:19:p:4571-4575

DOI: 10.1016/j.physa.2013.06.008

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