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THE (k, s)-FRACTIONAL CALCULUS OF CLASS OF A FUNCTION

  • Rahman, G. (Department of Mathematics, International Islamic University) ;
  • Ghaffar, A. (Department of Mathematical Science, BUITEMS) ;
  • Nisar, K.S. (Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University) ;
  • Azeema, Azeema (Department of Mathematics, SBK Women's University)
  • Received : 2017.11.17
  • Accepted : 2018.01.26
  • Published : 2018.03.25

Abstract

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.

Keywords

Fractional integral operators;fractional differential operators;generalized (k, s)-fractional integral operators;generalized (k, s)-fractional differential operators

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