TY - JOUR
AU - Nghiem Thi, Van Anh
AU - Vu, Anh Tuan
AU - Le, Dinh Long
AU - Doan, Vuong Nguyen
PY - 2024/04/15
Y2 - 2024/10/04
TI - On the source problem for the diffusion equations with conformable derivative
JF - Modern Mathematical Methods
JA - Modern Math. Methods
VL - 2
IS - 2
SE - Articles
DO -
UR - https://modernmathmeth.com/index.php/pub/article/view/24
SP - 55-64
AB - <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>
ER -