title: Fractional Calculus of the Generalized Mittag-Leffler Type Function.
abstract: We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of the main results derived in this paper.
authors.affiliation: Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur 342005, India.
authors.forename: Dinesh
authors.identifier: 0000-0001-5415-1777
authors.initials: D
authors.lastname: Kumar
authors.affiliation: Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand 831014, India.
authors.forename: Sunil
authors.initials: S
authors.lastname: Kumar