A backward problem for the time-fractional diffusion equation

被引：16
|
作者：
Al-Jamal, Mohammad F. [1 ]
机构：
[1] Yarmouk Univ, Dept Math, Irbid 21163, Jordan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 07期
关键词：
backward problem; inverse problem; regularization; stability; initial distribution; fractional diffusion;
D O I：
10.1002/mma.4151
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the backward problem of reconstructing the initial condition of a time-fractional diffusion equation from interior measurements. We establish uniqueness results and provide stability analysis. Our method is based on the eigenfunction expansion of the forward solution and the Tikhonov regularization to tackle the ill-posedness issue of the underlying inverse problem. Some numerical examples are included to illustrate the effectiveness of the proposed approach. Copyright (C) 2016 John Wiley & Sons, Ltd.
引用
收藏
页码：2466 / 2474
页数：9
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