ON THE NEW INTEGRAL TRANSFORM “ELzaki Transform” FUNDAMENTEL PROPERTIES INVESTIGATIONS AND APPLICATIONS

Abstract

ELzaki transform, is a new integral transform, whose fundamental properties are presented in this paper, is little known and not widely used. Here the ELzaki transform used to solve problems without resorting to a new frequency domain. In this paper we provide ELzaki transform for a more comprehensive list of functions and we introduce more general shift theorems. Further, we use Laplace-ELzaki duality (LED) to invoke a complex inverse ELzaki transform, as a Bromwhich contour integral formula. Lastly this paper presented applications to Bessel‟s equation. Keywords: Elzaki Transform- Differential Equations-Laplace transform-Applications.