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arXiv · 1801.05001

On a certain extension of the Riemann-Liouville fractional derivative operator

Gauhar Rahman·Kottakkaran Sooppy Nisar·Zivorad Tomovski
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Abstract

The main aim of this present paper is to present a new extension of the fractional derivative operator by using the extension of Beta function recently defined by Shadab et al.[19]. Moreover, we establish some results related to the newly defined modified fractional derivative operator such as Mellin transform and relations to extended hypergeometric and Appell's function via generating functions.

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Gauhar Rahman, Kottakkaran Sooppy Nisar, Zivorad Tomovski. 2019-02-08. On a certain extension of the Riemann-Liouville fractional derivative operator. https://doi.org/10.4134/ckms.c180140

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