Finding the general Solution for some extraordinary Differential Equation

Abstract

Abstract This paper has a dual purpose. One purpose is to introduce a method consists of repeatedly applying Riemann-Liouville operator of appropriate order until the equation , ( ) , (q is integer) is transformed into an ordinary differential equation.A second purpose is to apply the Adomian decomposition method for the solution of fractional differential equation an alternative method of Laplace transform.

Keywords

• general solution
• extraordinary differential equation
• differential equation