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

International Journal of Mathematics and Mathematical Sciences 2026 Open access

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Authors: Mulugeta Dawud Ali, D. L. Suthar
DOI: 10.1155/ijmm/3054155
Cited by: 1
References: 6

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.

Fields of Study & Subjects

Fractional Differential Equations Solutions Mathematical functions and polynomials Approximation Theory and Sequence Spaces

Publication details

Journal / source
International Journal of Mathematics and Mathematical Sciences
Publisher
Wiley
Volume
2026
Issue
1
Publication date
1 January 2026
Language
EN