Reconstructing the right-hand side of a fractional subdiffusion equation from the final data
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Date
2020
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Abstract
In this study, we study an inverse source problem for the time-fractional diffusion equation, where the final data t=Tare given. We show that our problem is ill-posed in the sense of Hadamard. Applying a truncation method, we give the regularized solution. Finally, convergence estimates under a priori and a posteriori parameter choice rules are proved.
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Time-Fractional Diffusion Equation, Truncation Method, Inverse Source Problem
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Luc, Nguyen Hoang...et al. (2020). "Reconstructing the right-hand side of a fractional subdiffusion equation from the final data", Journal of Inequalities and Applications, Vol. 2020, No. 1.
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Journal of Inequalities and Applications
Volume
2020
Issue
1