Reconstructing the Right-Hand Side of a Fractional Subdiffusion Equation From the Final Data

Baleanu, DumitruLong, Le DinhCan, Nguyen-HuuLuc, Nguyen Hoang2021-02-022025-09-182021-02-022025-09-182020Luc, 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. 1.1029-242Xhttps://doi.org/10.1186/s13660-020-02319-7https://hdl.handle.net/20.500.12416/11645Le Dinh, Long/0000-0001-8805-4588; Nguyen, Huu-Can/0000-0001-6198-1015In 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.eninfo:eu-repo/semantics/openAccessTime-Fractional Diffusion EquationTruncation MethodInverse Source ProblemReconstructing the Right-Hand Side of a Fractional Subdiffusion Equation From the Final DataReconstructing the right-hand side of a fractional subdiffusion equation from the final dataArticle10.1186/s13660-020-02319-72-s2.0-85080072694