NUMERICAL ACCURACY OF THE TIME-FRACTIONAL DIFFERENTIAL EQUATIONS OF DIFFERENT ORDER BY USING HOMOTOPY PERTURBATION AND SUMUNDU TRANSFORM METHOD

In this paper we obtain the analytical solution of problems which is related to Time-fractional differential equation. We get the solution by using combined form of the Homotopy perturbation method with the Sumudu transform. The solutions we obtain are approximately given in form of Mittag-Leffler functions. The solutions are in series form and which is convergent. All calculations are performed by Matlab 2022 and Python.