This study uses the q ‐calculus to present an innovative extension of the q ‐Mittag−Leffler function. Next, we examine some of its notable characteristics, including image formula under the Kober fractional q ‐calculus operator, recurrence relation and convergence, q ‐integral transform, integral representations, and q ‐derivative formulas. Furthermore, we examine a few particular cases to illustrate the use of our primary finding.
Ali et al. (Thu,) studied this question.