Fractional Mellin Transform for Standard Functions

Mellin transform is one of the members of an Integral transform. It is widely used in computer science for the analysis of algorithms of its scale invariance property. In mathematics, it may be regarded as the multiplicative version of the two-sided Laplace transform. In this paper we discuss the fractional Mellin transform with some basic properties. Also we prove fractional Mellin transform for Some Standard Functions. To illustrate the advantages and use of this transformation, example of differential equation has been solved at the end.