Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 Special Issue 2021 12 01 An inverse problem for homogeneous time-fractional diffusion problem on the sphere 653 662 5402 10.22075/ijnaa.2021.5402 EN Danh Hua Quoc Nam Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam Journal Article 2020 05 27  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. https://ijnaa.semnan.ac.ir/article_5402_d1359f9934ee5a75ed441ffce412a0a1.pdf