Triet, Nguyen AnhAu, Vo VanLong, Le DinhBaleanu, DumitruTuan, Nguyen Huy2021-01-282021-01-282020Triet, Nguyen Anh...et al. (2020). "Regularization of a terminal value problem for time fractional diffusion equation", Mathematical Methods in the Applied Sciences, Vol. 43, No. 6, pp. 3850-3878.0170-42141099-1476http://hdl.handle.net/20.500.12416/4498In this article, we study an inverse problem with inhomogeneous source to determine an initial data from the time fractional diffusion equation. In general, this problem is ill-posed in the sense of Hadamard, so the quasi-boundary value method is proposed to solve the problem. In the theoretical results, we propose a priori and a posteriori parameter choice rules and analyze them. Finally, two numerical results in the one-dimensional and two-dimensional case show the evidence of the used regularization method.eninfo:eu-repo/semantics/closedAccessFractional Diffusion EquationInverse ProblemRegularizationRiemann-Lioville Fractional DerivativeArticle4363850387810.1002/mma.6159