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Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution

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Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep TR-27410, Turkey
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Department of Mathematics, Shaheed Benazir Bhutto University, Sharingal, Upper Dir 18000, Pakistan
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Department of Mathematical Science, BUITEMS, Quetta 87300, Pakistan
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Department of Mathematics, SBK Women University, Quetta 87300, Pakistan
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Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(3), 248; https://doi.org/10.3390/math7030248
Received: 25 December 2018 / Revised: 3 March 2019 / Accepted: 6 March 2019 / Published: 10 March 2019
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-Text
Keywords: extended Mittag-Leffler function; Wright-type hypergeometric functions; extended Wright-type hypergeometric functions; statistical distribution extended Mittag-Leffler function; Wright-type hypergeometric functions; extended Wright-type hypergeometric functions; statistical distribution
MDPI and ACS Style

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. https://doi.org/10.3390/math7030248

AMA Style

Araci S, Rahman G, Ghaffar A, Azeema, Nisar KS. Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution. Mathematics. 2019; 7(3):248. https://doi.org/10.3390/math7030248

Chicago/Turabian Style

Araci, Serkan, Gauhar Rahman, Abdul Ghaffar, Azeema, and Kottakkaran S. Nisar. 2019. "Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution" Mathematics 7, no. 3: 248. https://doi.org/10.3390/math7030248

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