Vo Thi Thanh Ha
Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam
This study considers an inverse source problem of a time-space fractional diffusion equation. In general, this inverse problem is ill-posed in the sense of Hadamard. We provide a new non-stationary iterated quasi-boundary value regularization technique for reconstructing the source function. By choosing the regularization parameters (a priori; posterior decision rules), we determine the convergence rates.
Keywords: Caputo–Hadamard derivative; Inverse source problem; Parabolic equation; Memory term; Regularization method.
Vo, T. T. H. (2023). Reconstruct an unknown source term on the right-hand side of the time-fractional diffusion equation with Caputo-Hadamard derivative. Advances in the Theory of Nonlinear Analysis and Its Application, 7(5), 28–43.