Nguyen Anh TrietTran Thanh BinhNguyen Duc PhuongBaleanu, DumitruNguyen Huu CanMatematik2022-12-072022-12-072021Triet, Nguyen Anh...et al. (2021). "Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements", Mathematical Methods in the Applied Sciences, Vol. 44, No. 6, pp. 5188-5209.0170-42141099-1476https://doi.org/10.1002/mma.7102Phuong, Nguyen Duc/0000-0003-3779-197XIn this work, we study the final value problem for a system of parabolic diffusion equations. In which, the final value functions are derived from a random model. This problem is severely ill-posed in the sense of Hadamard. By nonparametric estimation and truncation methods, we offer a new regularized solution. We also investigate an estimate of the error and a convergence rate between a mild solution and its regularized solutions. Finally, some numerical experiments are constructed to confirm the efficiency of the proposed method.eninfo:eu-repo/semantics/closedAccessIll‐Posed ProblemNonlocal DiffusionRandom NoiseRegularized SolutionRecovering the initial value for a system of nonlocal diffusion equations with random noise on the measurementsRecovering the Initial Value for a System of Nonlocal Diffusion Equations With Random Noise on the MeasurementsArticle4465188520910.1002/mma.71022-s2.0-85097416378WOS:000597631400001Q1Q1