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Abstract In this paper, we introduce the ( k , s ) $(k, s)$ -fractional integral and differential operators involving k-Mittag-Leffler function E k , ρ , β δ ( z ) $E_{k,\rho,\beta}^{\delta}(z)$ as its kernel. Also, we establish various properties of these operators. Further, we consider a number of certain consequences of the main results.