On Generalized Fractional Derivatives Involving Generalized k-Mittag Leffler Function (1902.02552v1)

Abstract: In this paper, certain generalized fractional derivative formulae are introduced involving the k-Mittag-Leffler function. Then their image formulae (using Beta transform, Laplace transform and Whittaker transform) are also established. The results obtained here are quite general in nature. The special cases of our findings are also discussed.