An inverse problem for homogeneous time-fractional diffusion problem on the sphere

	An inverse problem for homogeneous time-fractional diffusion problem on the sphere
International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 653-662 اصل مقاله (345.13 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5402
نویسنده
Danh Hua Quoc Nam^*
Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam
چکیده
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.
کلیدواژه‌ها
Time fractional diffusion؛ inverse problem, Ill-posed problem؛ Convergence estimates
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