Numerical Comparisons Between Some Recent Modifications of Fractional Euler Methods

Abstract

For dealing with systems of Fractional Differential Equations (FDEs), the primary goal of this work is to offer several graphical comparisons performed with the use of specific recent adjustments of the so-called Fractional Euler Method (FEM). These numerical adjustments are the Modified FEM (or MFEM) and Improved Modified FEM (or IMFEM) coupled with the FEM itself. This would reveal the best approximate solution to the fractional-order system consisting of FDEs in comparison with its exact solution.