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.
作者
Li HU
Zhiyuan LI
Xiaona YANG
胡利;李志远;杨晓娜(School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China;School of Mathematical Sciences,Xiamen University,Xiamen,361005,China)
基金
supported by National Natural Science Foundation of China(12271277)
the Open Research Fund of Key Laboratory of Nonlinear Analysis&Applications(Central China Normal University),Ministry of Education,China.
