In present era, Fractional Integral Transform plays an important role in various fields of mathematics and Technology. Mellin transform has an many application in navigations, correlaters, in area of statistics, probability and also solving in differential equation. Fractional Mellin transform is integral part of mathematical modeling method because of its scale invariance property.
The aim of this paper is to generalization of Laplace-Fractional Mellin Transform. Analyticity theorem for the Generalized Laplace-Fractional Mellin Transform is proved.