An Inverse Order And Zeroth-order Term Coefficient Problem For A Time Fractional Diffusion Wave Equation

In this paper,we study an inverse problem for recovering the order and the zeroth-order coefficient in a fractional diffusion wave equation,and we get the uniqueness result under certain conditions by using asymptotic analysis,analytical continuation and Gel'fand-Levitan theory.Then,the Levenberg-Marquardt iterative method is used to solve the inverse problem and the numerical results are analyzed.