
In this paper we define a new fractional derivative in the k-calculus context, the k-Weyl fractional derivative. Also we study the action of Laplace and Stieltjes Transforms on the new fractional operator and the k-Weyl Fractional Integral operator introduced by Romero, Cerutti, Dorrego (cf. [7]). Mathematics Subject Classification: 26A33, 42A38
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