%0 Journal Article
%T An inverse problem for homogeneous time-fractional diffusion problem on the sphere
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Quoc Nam, Danh Hua
%D 2021
%\ 01/01/2021
%V 12
%N Special Issue
%P 653-662
%! An inverse problem for homogeneous time-fractional diffusion problem on the sphere
%K Time fractional diffusion
%K inverse problem, Ill-posed problem
%K Convergence estimates
%R 10.22075/ijnaa.2021.5402
%X In this paper, we consider an inverse problem for the time-fractional diffusion equation on the sphere where the final data on the sphere are given. The problem is ill-posed in the sense of Hadamard. Hence, the regularization method has to be used for the stable approximate solution. Then the well-posedness of the proposed regularizing problem and convergence property of the regularizing solution to the exact one is proved. Error estimates for this method are provided together with a selection rule for the regularization parameter.
%U https://ijnaa.semnan.ac.ir/article_5402_01a7d2f702e467f4a4823c17ce4f0493.pdf