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- Title
Reconstructing the right-hand side of a fractional subdiffusion equation from the final data.
- Authors
Luc, Nguyen Hoang; Baleanu, Dumitru; Long, Le Dinh; Can, Nguyen-Huu
- Abstract
In this study, we study an inverse source problem for the time-fractional diffusion equation, where the final data t = T are 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.
- Subjects
HEAT equation; EQUATIONS; TIKHONOV regularization; INVERSE problems; DATA
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-02319-7