Browsing by Author "Vo Van Au"
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Article Citation - WoS: 20Regularization of a Terminal Value Problem for Time Fractional Diffusion Equation(Wiley, 2020) Vo Van Au; Le Dinh Long; Baleanu, Dumitru; Nguyen Huy Tuan; Nguyen Anh Triet; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya ÜniversitesiIn this article, we study an inverse problem with inhomogeneous source to determine an initial data from the time fractional diffusion equation. In general, this problem is ill-posed in the sense of Hadamard, so the quasi-boundary value method is proposed to solve the problem. In the theoretical results, we propose a priori and a posteriori parameter choice rules and analyze them. Finally, two numerical results in the one-dimensional and two-dimensional case show the evidence of the used regularization method.
