On source identification problem for fractional parabolic differential equation

This work focused on the problem of determining the source for fractional parabolic differential equations. Concepts and definitions related to fractional differential equations, Fourier series, Laplace and Fourier transform methods, finite difference methods and source determination problems are given. For the solution of one-dimensional fractional parabolic partial differential equations, Laplace transform, Fourier transform and Fourier series methods are used. Algoritm of solving source ıdentification is described on simple examples. In addition, a first-order of accuracy finite difference scheme is applied to the source determination problem for fractional parabolic equation. In the test example of source determination problem for parabolic fractional partial differential equation error analysing of approximate solution is carried out by using MATLAB program,