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Browsing by Author "Nisar, K. S."

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    Article
    Generalized k-Mittag-Leffler function and its composition with pathway integral operators
    (int Scientific Research Publications, 2016) Nisar, K. S.; Baleanu, Dumitru; Purohit, S. D.; Abouzaid, M. S.; Al Qurashi, M.; Baleanu, D.; 56389
    Our purpose in this paper is to consider a more generalized form of the Mittag-Leffler function. For this newly defined function, we obtain certain composition formulas with pathway fractional integral operators. We also point out some important special cases of the main results. (C) 2016 All rights reserved.
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    Article
    The (k, s) -fractional calculus of k-Mittag-Leffler function
    (Springer, 2017) Nisar, K. S.; Rahman, G.; Baleanu, D.; Mubeen, S.; Arshad, M.; 56389
    In this paper, we introduce the (k, s)-fractional integral and differential operators involving k-Mittag-Leffler function E-k,rho,beta(delta) (z) as its kernel. Also, we establish various properties of these operators. Further, we consider a number of certain consequences of the main results.
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    Correction
    The (k, s)-fractional calculus of k-Mittag-Leffler function (vol 2017, 118, 2017)
    (Springer international Publishing Ag, 2017) Nisar, K. S.; Baleanu, Dumitru; Rahman, G.; Baleanu, D.; Mubeen, S.; Arshad, M.; 56389
    In this note we present some corrections to our previous paper