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

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)

机构地区：[1]School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China [2]School of Mathematical Sciences,Xiamen University,Xiamen,361005,China

出　　处：《Acta Mathematica Scientia》2024年第5期2019-2040,共22页数学物理学报（B辑英文版）

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.

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.

关 键 词：fractional diffusion equation inverse source problem nonlocal observation observation UNIQUENESS Tikhonov regularization 

分 类 号：O175[理学—数学]