Preprint Article Version 1 This version is not peer-reviewed

The (k, s)-Fractional Calculus of Class of a Function

Version 1 : Received: 24 October 2017 / Approved: 25 October 2017 / Online: 25 October 2017 (03:07:32 CEST)

How to cite: Rahman, G.; Ghaffar, A.; Nisar, K.S.; Azeema, A. The (k, s)-Fractional Calculus of Class of a Function. Preprints 2017, 2017100161 (doi: 10.20944/preprints201710.0161.v1). Rahman, G.; Ghaffar, A.; Nisar, K.S.; Azeema, A. The (k, s)-Fractional Calculus of Class of a Function. Preprints 2017, 2017100161 (doi: 10.20944/preprints201710.0161.v1).

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.

Subject Areas

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