Certain fractional integral operators pertaining to S-function

Abstract

Abstract Fractional integral operators introduced by Saxena and Kumbhat involving Fox’s H-function as kernel are applied, and find new image formulas of S-function and properties are established. Also, by implementing Euler, Whittaker and K-transforms on the resulting formulas. On account of S-function, a number of results involving special functions can be obtained merely by giving particular values for the parameters.