In this project, we are interested in solving analytic solutions for Fractional type Special Ordinary Differential Equations and systems of fractional type ordinary differential equations by using Sumudu transform method. The fractional derivatives are described in the Riemann sense. The applications related to Sumudu transform method have been developed for differential equations and systems of fractional differential equations. The solutions of our model equations are obtained in the form of Mittag – Leffer functions with easily computable components. In this work the Sumudu transform is applied to solve Fractional type Special Ordinary Differential Equations and systems with the appropriate initial conditions.