Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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. https://doi.org/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. https://doi.org/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.

Keywords

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

Subject

Computer Science and Mathematics, Analysis

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