Baleanu, DumitruTran Ngoc ThachO'Regan, DonalNguyen Huu CanNguyen Huy Tuan02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-04-272025-09-182022-04-272025-09-182020Tuan, Nguyen Huy...et al. (2020). "Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data", Journal of Computational and Applied Mathematics, Vol. 376.0377-04271879-1778https://doi.org/10.1016/j.cam.2020.112883https://hdl.handle.net/20.500.12416/13516Nguyen Huy, Tuan/0000-0002-6962-1898; Nguyen, Huu-Can/0000-0001-6198-1015In this paper, we study the problem of finding the solution of a multi-dimensional time fractional reaction-diffusion equation with nonlinear source from the final value data. We prove that the present problem is not well-posed. Then regularized problems are constructed using the truncated expansion method (in the case of two-dimensional) and the quasi-boundary value method (in the case of multi-dimensional). Finally, convergence rates of the regularized solutions are given and investigated numerically. (C) 2020 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/openAccessFractional Reaction-Diffusion EquationRegularization MethodBackward ProblemNonlinear SourceDiscrete DataArticle10.1016/j.cam.2020.1128832-s2.0-85082469774