Mathematics 2019, 7(3), 248; https://doi.org/10.3390/math7030248
Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution
1
Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep TR-27410, Turkey
2
Department of Mathematics, Shaheed Benazir Bhutto University, Sharingal, Upper Dir 18000, Pakistan
3
Department of Mathematical Science, BUITEMS, Quetta 87300, Pakistan
4
Department of Mathematics, SBK Women University, Quetta 87300, Pakistan
5
Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 25 December 2018 / Revised: 3 March 2019 / Accepted: 6 March 2019 / Published: 10 March 2019
Abstract
Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators of extended Mittag-Leffler function (EMLF). We also investigate the statistical distribution associated with the EMLF. Finally, we derive some of the particular cases of the main results. View Full-TextKeywords:
extended Mittag-Leffler function; Wright-type hypergeometric functions; extended Wright-type hypergeometric functions; statistical distribution
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Araci, S.; Rahman, G.; Ghaffar, A.; Azeema; Nisar, K.S. Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution. Mathematics 2019, 7, 248.
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