Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function

Mulugeta Dawud Ali and D. L. Suthar

Journal of Mathematics, 2025, vol. 2025, 1-20

Abstract: The purpose of this study is to obtain the images of the generalized q-analogue of Mittag–Leffler functions under the Saigo fractional q-differentiation operator, where its argument consists of a factor xζxq−μ+ξ−θ. Corresponding assertions in terms of Weyl q-integral operator, Kober q-integral operator, and Riemann–Liouville q-integral operator are presented. We also use the q-Laplace transforms to create their composition formula. In addition, we emphasize their significance in particular.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2828826

DOI: 10.1155/jom/2828826

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