Use of Euler’s Method for Fractional Differential Equations

Abstract

The present paper highlights a numerical method for solving fractional differential equations in the Riemann -Liouville sense and the approach is based on the Euler’s method. The main characteristic behind the approach is that Euler method has intuitive geometric meaning. The algorithm is presented and the convergence of the algorithm is proved. As applications of main results, three specific numerical examples are given in the research paper.