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A New q-Integral Operator Containing Generalized q-Mittag-Leffler Function

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  • Mulugeta Dawud Ali
  • D. L. Suthar

Abstract

In this study, we employ the mathematical framework of q-calculus to introduce a novel integral operator that incorporates the generalized q-Mittag-Leffler function. Following this introduction, we delve into an in-depth analysis of several significant properties and potential applications of this integral operator. Additionally, we explore a number of specific cases to demonstrate the practical utility and implications of our main result.

Suggested Citation

  • Mulugeta Dawud Ali & D. L. Suthar, 2025. "A New q-Integral Operator Containing Generalized q-Mittag-Leffler Function," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2025, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:6758069
    DOI: 10.1155/ijmm/6758069
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