The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain

In this paper, the inverse problem for identifying initial value of a time fractional nonhomogeneous diffusion equation in columnar symmetric region is studied. This an ill-posed problem, i.e., solution does not depend continuously on data. The Tikhonov regularization method applied to solve and obtain solution. error estimations between exact are also obtained under priori posteriori parameter choice rules, respectively. Some examples given show method’s effectiveness.