A STRONG POSITIVITY PROPERTY AND A RELATED INVERSE SOURCE PROBLEM FOR MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATIONS

被引：0
|
作者：
胡利 [1 ]
李志远 [1 ]
杨晓娜 [2 ]
机构：
[1] School of Mathematics and Statistics,Ningbo University
[2] School of Mathematical Sciences,Xiamen
来源：
Acta Mathematica Scientia | 2024年 / 44卷 / 05期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this article,we consider the diffusion equation with multi-term time-fractional derivatives.We first derive,by a subordination principle for the solution,that the solution is positive when the initial value is non-negative.As an application,we prove the uniqueness of solution to an inverse problem of determination of the temporally varying source term by integral type information in a subdomain.Finally,several numerical experiments are presented to show the accuracy and efficiency of the algorithm.
引用
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页码：2019 / 2040
页数：22
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