Tuan, Nguyen HuyLong, Le Dinh2022-04-202022-04-202017-05-04Tuan, N. H., & Long, L. D. (2017). Fourier truncation method for an inverse source problem for space-time fractional diffusion equation. <i>Electronic Journal of Differential Equations, 2017</i>(122), pp. 1-16.1072-6691https://hdl.handle.net/10877/15676In this article, we study an inverse problem to determine an unknown source term in a space time fractional diffusion equation, whereby the data are obtained at a certain time. In general, this problem is ill-posed in the sense of Hadamard, so the Fourier truncation method is proposed to solve the problem. In the theoretical results, we propose a priori and a posteriori parameter choice rules and analyze them.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalFractional diffusion equationCauchy problemIll-posed problemConvergence estimatesArticle