Presents an extended q-Mittag-Leffler function, examining its image formula in fractional q-calculus, suggesting new insights into its characteristics.
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.
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Ali et al. (2026) studied this question.
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