A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative

الملخص EN

The Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time-fractional derivative.

The inverse problem is with variable coefficients and initial and boundary conditions.

The analytical solutions to the inverse problems are obtained in the form of a finite convergent power series with easily obtainable components.