Solution for a Space-time Fractional Diffusion Equation

被引：0
|
作者：
Liu, Qiyu [1 ]
Lv, Longjin [2 ]
机构：
[1] Beijing Univ Chem Technol, Coll Informat Sci & Technol, Beijing 100029, Peoples R China
[2] Zhejiang Univ, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China
来源：
PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON MODELLING, SIMULATION AND APPLIED MATHEMATICS (MSAM2017) | 2017年 / 132卷
关键词：
anomalous diffusion; fractional diffusion; green function; fox function; ANOMALOUS DIFFUSION; WAVE-EQUATIONS; LEVY FLIGHTS; RANDOM-WALK; DYNAMICS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work focuses on investigating the solutions for a generalized fractional diffusion equation. This equation presents space and time fractional derivatives, includes an absorbent term and a linear external force, takes a time-dependent diffusion coefficient into account, and subjects to the natural boundaries and the general initial condition. We obtain explicit analytical expressions in terms of the Fox H functions for the probability distribution. In addition, we analyze the first passage time and the second movement distribution for the case characterized by the absence of absorbent term and external force for a semi-infinite interval with absorbing boundary condition.
引用
收藏
页码：180 / 184
页数：5
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