Solutions for a generalized fractional anomalous diffusion equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:225

Article

Lv, Long-Jin¹  Xiao, Jian-Bin¹  Zhang, Lin¹  Gao, Lei¹ 

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310037, Zhejiang, Peoples R China

关键词: Anomalous diffusion;    Fractional diffusion;    Green function;    Fox function;   

DOI  :  10.1016/j.cam.2008.03.029

来源: Elsevier

【 摘 要 】

In this paper, we investigate the solutions for a generalized fractional diffusion equation that extends some known diffusion equations by taking a spatial time-dependent diffusion coefficient and an external force into account, which subjects to the natural boundaries and the generic initial condition. We obtain explicit analytical expressions for the probability distribution and Study the relation between our solutions and those obtained within the maximum entropy principle by using the Tsallis entropy. Crown Copyright (C) 2008 Published by Elsevier B.V. All rights reserved.

【 授权许可】

Free