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Study of extended Weyl \(k\)-fractional integral via Chebyshev inequalities. (English) Zbl 1396.26010

Summary: In this paper, we introduce the extended Weyl \(k\)-fractional integral and then present its results and some inequalities. These results and inequalities hold true for: (i) \(k\)-Weyl fractional integral when \(s\to 0\); (ii) Weyl fractional integral when \(s\to 0\) and \(k\to 1\).

MSC:

26A33 Fractional derivatives and integrals
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