Nguyen Hoang TuanBaleanu, DumitruTran Ngoc ThachNguyen Huy Tuan02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2021-02-162025-09-182021-02-162025-09-182020Tuan, 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. 1292-1312.0170-42141099-1476https://doi.org/10.1002/mma.5943https://hdl.handle.net/123456789/12637Nguyen Huy, Tuan/0000-0002-6962-1898In 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 SolutionArticle10.1002/mma.59432-s2.0-85075742233