ON SUMUDU TRANSFORM OF FRACTIONAL DERIVATIVES AND ITS APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS

In this paper, the operational transform formulae corresponding to Sumudu transform of Riemann- Lioulle, Caputo and Miller-Ross sequential fractional derivatives are derived by direct application of Sumudu transform. These formulae are applied to solve certain homogenous and non-homogenous fractional differential equations with non-zero initial conditions.