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Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution
Journal article   Open access  Peer reviewed

Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution

Kottakkaran Sooppy Nisar, Ashraf Fetoh Eata, Mujahed Al-Dhaifallah and Junesang Choi
Advances in difference equations, Vol.2016(1), pp.1-17
29/11/2016
DOI: https://doi.org/10.1186/s13662-016-1029-6

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We aim to investigate the MSM-fractional calculus operators, Caputo-type MSM-fractional differential operator, and pathway fractional integral operator of the generalized k-Mittag-Leffler function. We also investigate certain statistical distribution associated with the generalized k-Mittag-Leffler function. Certain particular cases of the derived results are considered and indicated to further reduce to some known results.
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https://doi.org/10.1186/s13662-016-1029-6View
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