Submitted:
01 December 2017
Posted:
04 December 2017
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Abstract
The main objective of this present paper is to establish the extension of an extended fractional derivative operator by using an extended beta function recently defined by Parmar et al. by considering the Bessel functions in its kernel. Also, we give some results related to the newly defined fractional operator such as Mellin transform and relations to extended hypergeometric and Appell's function via generating functions.
Keywords:
hypergeometric function
; extended hypergeometric function
; mellin transform
; fractional derivative
; appell's function
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