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In this present paper, we deal with the generalized (k, s)-fractional integral and differential operators recently defined by Nisar et al. and obtain some generalized (k, s)-fractional integral and differential formulas involving the class of a function as its kernels. Also, we investigate a certain number of their consequences containing the said function in their kernels.
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참고문헌 (21)
참고문헌 신청
A. Atangana / 2016 / New fractional derivatives with nonlocal and nonsingular kernel: Theory and application to heat transfer model / Thermal Science 20:763~769
P. Agarwal / 2017 / Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals / Journal of Inequalities and Applications 55
R. Diaz / 2007 / On hypergeometric functions and Pochhammer k-symbol / Divulg. Mat. 17:179~192
A. A. Kilbas / 2004 / Generalized Mittag-Lefler function and generalized fractional calculus operators / Integral Transforms and Special Functions 15:31~49
A. A. Kilbas / 2006 / Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) / Elsevier Science Inc.
P. Agarwal / 2017 / Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals / Journal of Inequalities and Applications 55
R. Diaz / 2007 / On hypergeometric functions and Pochhammer k-symbol / Divulg. Mat. 17:179~192
A. A. Kilbas / 2004 / Generalized Mittag-Lefler function and generalized fractional calculus operators / Integral Transforms and Special Functions 15:31~49
A. A. Kilbas / 2006 / Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) / Elsevier Science Inc.
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