@article{Nghiem Thi_Vu_Le_Doan_2024, title={On the source problem for the diffusion equations with conformable derivative}, volume={2}, url={https://modernmathmeth.com/index.php/pub/article/view/24}, abstractNote={<div>
<div>In this article, we are interested in the problem of finding the source function of the diffusions equations \(\partial_{t}^\alpha - \Delta u = f(x)\) (where \(f\) as the unknown source function and \(\alpha\in (0,1)\)). Furthermore, the fractional derivative \(\alpha\) of \(u\) is defined by the Conformable time derivative. This is an ill-posed problem. So, we use the Reguralized Tikhonov method to construct a regularization solution, and the estimation of convergence is also discussed.</div>
</div>}, number={2}, journal={Modern Mathematical Methods}, author={Nghiem Thi, Van Anh and Vu, Anh Tuan and Le, Dinh Long and Doan, Vuong Nguyen}, year={2024}, month={Apr.}, pages={55–64} }