Generalized Laplace-Fractional Mellin Transform and its Analytical structure

Abstract

Fractional MellinTransform is integral part of mathematical modeling method because of its scale invariance property. Since its success in description of anomalous diffusion, non-integer calculus, both in one and multidimensional space, it has become an important tool in many areas of physics mechanics, chemistry finance and bioengineering. In this paper Generalization of Laplace-Fractional Mellin transform is presented. Analyticity theorem for the Laplace-Fractional Mellin Transform is also proved.