Version 1
: Received: 14 December 2017 / Approved: 15 December 2017 / Online: 15 December 2017 (06:44:08 CET)
How to cite:
Rahman, G.; Nisar, K. S.; Mubeen, S. On Generalized k-Fractional Derivative Operator. Preprints2017, 2017120101. https://doi.org/10.20944/preprints201712.0101.v1
Rahman, G.; Nisar, K. S.; Mubeen, S. On Generalized k-Fractional Derivative Operator. Preprints 2017, 2017120101. https://doi.org/10.20944/preprints201712.0101.v1
Rahman, G.; Nisar, K. S.; Mubeen, S. On Generalized k-Fractional Derivative Operator. Preprints2017, 2017120101. https://doi.org/10.20944/preprints201712.0101.v1
APA Style
Rahman, G., Nisar, K. S., & Mubeen, S. (2017). On Generalized k-Fractional Derivative Operator. Preprints. https://doi.org/10.20944/preprints201712.0101.v1
The main objective of this paper is to introduce k-fractional derivative operator by using the definition of k-beta function. We establish some results related to the newly defined fractional operator such as Mellin transform and relations to k-hypergeometric and k-Appell's functions. Also, we investigate the k-fractional derivative of k-Mittag-Leffler and Wright hypergeometric functions.
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.
