Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution
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CitationSerkan Araci, Gauhar Rahman, Abdul Ghaffar, Azeema, & Kottakkaran Sooppy Nisar. (January 01, 2019). Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution. Mathematics, 7, 3.)
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.