On generalized $\mathtt{k}$-fractional derivative operator

The principal aim of this paper is to introduce $\mathtt{k}$-fractional derivative operator by using the definition of $\mathtt{k}$-beta function. This paper establishes some results related to the newly defined fractional operator such as the Mellin transform and the relations to $\mathtt{k}$-hyper...

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Bibliographic Details
Main Authors: Gauhar Rahman, Shahid Mubeen, Kottakkaran Sooppy Nisar
Format: Article
Language:English
Published: AIMS Press 2020-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020129/fulltext.html