DETERMINATION OF THE SOURCE TERM IN AN INVERSE FRACTIONAL PARABOLIC PROBLEM WITH A TIME-DEPENDENT COEFFICIENT

In this article, we study an inverse fractional problem that is illposed in the sense of Hadamard. The goal is to recover a source term in a time-fractional parabolic equation with a time-dependent coefficient, using Tikhonov regularization. A no-regret control approach is employed to address the regularization problem when the initial condition is unknown. The source term is characterized through the corresponding optimality system.