Browsing by Author "Thach, Tran Ngoc"

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Citation Count: Tuan, N.H...et al. (2020). "Approximate Solution for A 2-D Fractional Differential Equation With Discrete Random Noise",Chaos, Solitons and Fractals, Vol. 133.
Approximate Solution for A 2-D Fractional Differential Equation With Discrete Random Noise
(Elsevier LTD., 2020) Tuan, Nguyen Huy; Baleanu, Dumitru; Thach, Tran Ngoc; O’Regan, Donal; Can, Nguyen Huu; 56389
We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and a numerical example are investigated.
Citation Count: Tuan, 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.
Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data
(2020) Tuan, Nguyen Huy; Baleanu, Dumitru; Thach, Tran Ngoc; O'Regan, Donal; Can, Nguyen Huu; 56389
In 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. © 2020 Elsevier B.V.
Citation Count: Tuan, 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.
On a backward problem for fractional diffusion equation with Riemann-Liouville derivative
(2020) Tuan, Nguyen Huy; Tuan, Nguyen Hoang; Baleanu, Dumitru; Thach, Tran Ngoc; 56389
In 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.