@article{article_1079951, title={Identifying inverse source for diffusion equation with conformable time derivative by Fractional Tikhonov method}, journal={Advances in the Theory of Nonlinear Analysis and its Application}, volume={6}, pages={433–450}, year={2022}, DOI={10.31197/atnaa.1079951}, author={Vo Thi Thanh, Ha and Hung, Ngo and Phuong, Nguyen Duc}, keywords={inverse source problem, Fractional diffusion equation, Inverse problem, inverse source problem, Regularization}, abstract={In this paper, we study inverse source for diffusion equation with conformable derivative: $CoD_{t}^{(\gamma)}u - \Delta u = \Phi(t) \mathcal{F}(x)$, where $0 <\gamma <1,~ (x,t) \in \Omega \times (0,T)$. We survey the following issues: The error estimate between the sought solution and the regularized solution under a priori parameter choice rule; The error estimate between the sought solution and the regularized solution under a posteriori \\ parameter choice rule; Regularization and ${\mathscr L}_{p}$ estimate by Truncation method.}, number={4}, publisher={Erdal KARAPINAR}, organization={Industrial University of Ho Chi Minh City, Vietnam under Grant named “Investigate some fractional partial differential equations”}