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Browsing by Author "Tuan, Nguyen Hoang"

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    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.