Approximate solutions for Cauchy-Euler Differential Equations with Riemann-Liouville's Fractional Derivatives via Runge-Kutta Techniques

Abstract

The present paper discussed a study on the approximate solutions for the Cauchy-Euler differential equation with fractional derivatives in order . The researchers applied the Runge-Kutta methods to the  Fractional Cauchy-Euler differential equation after transforming them into a system of fractional differential equations. The rsearchers further presented examples to illustrate the effectiveness of these methods and compared the results with exact solutions.