Composition Formulae of the Pathway Fractional Integral Operators Associated with Certain Special Functions

Abstract

In this paper, we present certain composition formulae of the pathway fractional integral operators associated with Galue Type Struve function and Bessel Struve Kernel function. These formulae, besides being of very general character have been put in a compact form avoiding the occurrence of infinite series and thus making them useful in applications. Our findings provide interesting unifications and extensions of a number of (new and known) results. The formulas established here are basic in nature and are likely to find useful applications in the field of science and engineering. Pathway integral operator generalizes the classical Riemann – Liouville fractional integration operator, and when α→1 it reduces to the Laplace integral transform.