Solving Fredholm Integro-Differential Equation of Fractional Order by Using Sawi Homotopy Perturbation Method

Abstract

In our article, we develop an efficient compined method consisting of integral transform and Homotopy Perturbation Method for solving Fractional Integro-differential equations of Fredholm type. Sawi transformation formulas of fractional types are derived and used in the proposed method. The Caputo derivative is the fractional derivative type that we used. The results of numerical experiments show the efficiency of our newly developed method. Exact solution and the existing method Homotopy perturbation method is used in the comparison with our new results.