Prabhakar Fractional Integral with Multivariate Mittag-Leffler Function and Hardy-type Inequalities
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i2.7416Keywords:
Prabhakar Fractional integral operator, Mittag-Leffler function, Hardy-type inequalitiesAbstract
In this research, we extract a multi-parametric Mittag-Leffler function and provide a new definition of the extended Prabhakar fractional integral operator. This new integral covers some previous operators introduced in other papers. We establish some basic properties of the introduced operator and the multi-parametric Mittag-Leffler function. To mention applications of the newly-introduced generalized operator, we study Prabhakar-based Hardy-type integral inequalities.
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Copyright (c) 2026 Muhammad Samraiz, Muhammad Basharat Akbar, Saima Naheed, Fady Hasan, Gauhar Rahman, Dania Santina, Nabil Mlaiki
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