%0 Journal Article
%T A Mollification Regularization Method for the Inverse Source Problem for a Time Fractional Diffusion Equation
%A Le Dinh Long
%A Nguyen Can
%A Tran Thanh Binh
%A Yong Zhou
%J Mathematics | An Open Access Journal from MDPI
%D 2019
%R https://doi.org/10.3390/math7111048
%X We consider a time-fractional diffusion equation for an inverse problem to determine an unknown source term, whereby the input data is obtained at a certain time. In general, the inverse problems are ill-posed in the sense of Hadamard. Therefore, in this study, we propose a mollification regularization method to solve this problem. In the theoretical results, the error estimate between the exact and regularized solutions is given by a priori and a posteriori parameter choice rules. Besides, the proposed regularized methods have been verified by a numerical experiment. View Full-Tex
%U https://www.mdpi.com/2227-7390/7/11/1048