ON SUMUDU TRANSFORM OF FRACTIONAL DERIVATIVES AND ITS APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS
D. S. BODKHE *
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, India.
S. K. PANCHAL
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, India.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Sumudu transform;, Mittag-Leffler, fractional derivatives, fractional differential equations