A Study of an Extended q-Mittag−Leffler Function and Its Image Formula Under the Kober Fractional q-Calculus Operator

Mulugeta Dawud Ali and D. L. Suthar

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-9

Abstract: 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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:3054155

DOI: 10.1155/ijmm/3054155

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