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

Article scientifique 2016 Anglais

Résumé

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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Nisar, K., Eata, A., Al‐Dhaifallah, M., Choi, J. (2016). Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution. https://doi.org/10.1186/s13662-016-1029-6

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