Asymptotic Green's functions for time-fractional diffusion equation and their application for anomalous diffusion problem

被引：12
|
作者：
Zhokh, Alexey A. [1 ]
Trypolskyi, Andrey I. [1 ]
Strizhak, Peter E. [1 ]
机构：
[1] LV Pisarzhevskii Inst Phys Chem, Prospect Nauki 31, UA-03028 Kiev, Ukraine
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 475卷
关键词：
Asymptotic Green's function; Time-fractional diffusion; Anomalous diffusion;
D O I：
10.1016/j.physa.2017.02.015
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Asymptotic Green's functions for short and long times for time-fractional diffusion equation, derived by simple and heuristic method, are provided in case if fractional derivative is presented in Caputo sense. The applicability of the asymptotic Green's functions for solving the anomalous diffusion problem on a semi-infinite rod is demonstrated. The initial value problem for longtime solution of the time-fractional diffusion equation by Green's function approach is resolved. (C) 2017 Elsevier B.V. All rights reserved.
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页码：77 / 81
页数：5
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