Tuan, Nguyen HuyTuan, Nguyen HoangBaleanu, DumitruThach, Tran Ngoc2021-02-162021-02-162020Tuan, Nguyen Huy...et al. (2019). "On a backward problem for fractional diffusion equation with Riemann-Liouville derivative", Mathematical Methods in the Applied Sciences, Vol. 43, No. 3, pp. 1292-1312.0170-42141099-1476http://hdl.handle.net/20.500.12416/4591In the present paper, we study the initial inverse problem (backward problem) for a two-dimensional fractional differential equation with Riemann-Liouville derivative. Our model is considered in the random noise of the given data. We show that our problem is not well-posed in the sense of Hadamard. A truncated method is used to construct an approximate function for the solution (called the regularized solution). Furthermore, the error estimate of the regularized solution in L-2 and H-tau norms is considered and illustrated by numerical example.eninfo:eu-repo/semantics/closedAccessBackward ProblemFractional Diffusion EquationRandom NoiseRegularized SolutionArticle4331292131210.1002/mma.5943