On the fractional q-integral operators involving q-analogue of Mittag-Leffler function

Abstract This paper aims to derive the images of the product of the generalized q -analogue of Mittag-Leffler functions and the basic binomial function, under the fractional q -integral operators of Kober and Weyl type. The derived findings are of a general nature and include, as specific examples, the Weyl q -integral operator, the q -derivative operators, and the Riemann–Liouville q -integral operator.