On Properties of ®-Sumudu Transform and Applications

Abstract

The ®-Sumudu transform is defined and its properties areproved. ®-Sumudu transform of convolution product and composition offunctions is obtained. The ®-Sumudu transform of Riemann-Liouvilleintegral and derivatives of fractional order are determined. As an application,the solution of Initial Value Problems with Riemann-Liouville derivativeof fractional order is obtained. .AMS (MOS) Subject Classification Codes: 34A12; 26A33;44A35Key Words: Riemann-Liouville derivative, Sumudu transform, Initial value problems,Mittag-Leffler functions