Reconstruct the unknown source on the right hand side of time fractional diffusion equation with Caputo-Hadamard derivative

• DOI: 10.61383/ejam.20242263
• Publication Date: 2024-07-06T06:08:25Z
• Authors: Ngo Ngoc Hung; Danh Hua Quoc Nam; Dinh Long Le
• Keywords: Regularization

The Caputo-Hadamard derivative was used to investigate the problem of functional recovery in this study. This is ill-posed, we propose a novel Quasi-reversibility for reconstructing sought function and show that regularization solution depends on space. After that, convergence rates are established under priori posterior choice rules parameters, respectively.