Nisar, K. S.Rahman, G.Baleanu, D.Mubeen, S.Arshad, M.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-04-252025-09-182024-04-252025-09-182017Nisar, Ks...et.al. (2017). "The (k, s) -fractional calculus of k-Mittag-Leffler function", Advances in Difference Equations, Vol.2017, No.1, pp.1-12.1687-1847https://doi.org/10.1186/s13662-017-1176-4https://hdl.handle.net/123456789/13097Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320; Rahman, Gauhar/0000-0002-2728-7537; Arshad, Muhammad/0000-0003-3041-328XIn 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.eninfo:eu-repo/semantics/openAccessFractional IntegralK-Fractional Integral Operator(K,S)-Fractional Integral(K,S)-Fractional DifferentialK-Mittag-Leffler FunctionThe (K, S)-Fractional Calculus of K-Mittag FunctionThe (k, s) -fractional calculus of k-Mittag-Leffler functionArticle10.1186/s13662-017-1176-42-s2.0-85018484221