Reconstructing the right-hand side of a fractional subdiffusion equation from the final data

Journal of inequalities and applications

article

Nguyen Hoang Luc¹  Dumitru Baleanu²  Le Dinh Long⁵  Nguyen-Huu Can⁷ 

[1] Institute of Research and Development, Duy Tan University;Department of Mathematics, Cankaya University;Department of Medical Research, China Medical University Hospital, China Medical University;Institute of Space Sciences;Department of Mathematics and Computer Science, University of Science;Vietnam National University;Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University

关键词: Time-fractional diffusion equation;    Truncation method;    Inverse source problem;   

DOI  :  10.1186/s13660-020-02319-7

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In this study, we study an inverse source problem for the time-fractional diffusion equation, where the final data $t = T$ are given. We show that our problem is ill-posed in the sense of Hadamard. Applying a truncation method, we give the regularized solution. Finally, convergence estimates under a priori and a posteriori parameter choice rules are proved.

【 授权许可】

CC BY