SOME NEW RESULTS ON FRACTIONAL INTEGRALS INVOLVING SRIVASTAVA POLYNOMIALS, (p,q)-EXTENDED HYPERGEOMETRIC FUNCTION AND M-SERIES

Abstract

Numerous prior publications on fractional calculus provide fascinating explanations of the theory and applications of fractional calculus operators throughout various mathematical analytic domains. In this paper, we introduce new fractional integral formulas using the Saigo-Maeda fractional integral operators and Appell’s function F3 along with the Srivastava polynomials, the (p,q)-extended Gauss hypergeometric function, and the M-Series. A few fascinating unusual cases of our main conclusions are also considered. This approach can be applied to explore a broad class of previously dispersed discoveries in the literature.