Article
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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
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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