Identifying a Space-Dependent Source Term and the Initial Value in a Time Fractional Diffusion-Wave Equation

This paper is focused on the inverse problem of identifying space-dependent source function and initial value time fractional nonhomogeneous diffusion-wave equation from noisy final measured data in a multi-dimensional case. A mollification regularization method based bilateral exponential kernel presented to solve ill-posedness for first time. Error estimates are obtained with an priori strategy posteriori choice rule find parameter. Numerical experiments interest show that our proposed effective robust respect perturbation noise data.