A Study of Sumudu-Laplace Transform and Its Analytical Structure

Abstract: Laplace transform is the one whose literature being used widely for searching solution of problem arises in area of engineering such as biomedical, electronics, electronics and telecommunication, Computer Engineering and many more. Its various applications are also marked in science also. Sumudu Integral transform is the one which shows closely resemblance with Laplace Transform which was introduced by G.K. Watugala in the early 1990s. Sumudu Transform also proved its application in solving problem of differential equation, partial differential equation. In this paper, we are going to discuss Sumudu-Laplace Transform. We first present definition of generalized Sumudu-Laplace Transform and is extended as distributional generalized sense. Also discussed its analytical structure by keeping parameter ‘s’ fixed.