“…Muna, 2008;I. podldubny, 1999;Shazad, 2002;Shazad, 2009;Shokhan, 2011;Talhat, 2016;Rostam, 2016), here we discuss the transformation Laplace operator techniques that how can be used for solving the LVIFDE's of RD that is expresses in equation 1. Before describing the Laplace transform technique, it is necessary to define and explain some important properties of Laplace method, and the way to drive Laplace transform for Delay functions and the Laplace transform of Caputo fractional derivative.…”