A STUDY OF GENERALIZED FRACTIONAL DERIVATIVE FORMULAS ASSOCIATED WITH GENERALIZED M-SERIES
By
Bhupender Singh Shaktawat1
, Madan Lal2 and Rajeev Kumar Gupta3
(1,2,3)Department of Mathematics and Statistics,
Jai Narain Vyas University, Jodhpur-342005, India.
1b.s.shaktawatmath@gmail.com
2madan.lakhani288@gmail.com
3drrkbgupta@yahoo.co.in
(Received : November 24, 2017 ; Revised: August 22, 2018; Final form: September 07, 2018)
Abstract
A remarkably large number of generalized fractional derivative formulas involving a variety of special functions have been developed by many authors. In the present paper the authors have established two generalized fractional derivative formulas involving generalized M-series, which is expressed in terms of the generalized Wright hypergeometric function. Some special cases of the results presented here are also pointed out.
Keywords and phrases: Generalized fractional calculus operators, Generalized MSeries and Generalized Wright hypergeometric function.
2010 Mathematics Subject Classification: 26A33, 33C45, 33C65, 33E12