  In this paper, we present an extension of Mittag-Leffler function by using
the extension of beta functions (\"{O}zergin et al. in J. Comput. Appl. Math.
235 (2011), 4601-4610) and obtain some integral representation of this newly
defined function. Also, we present the Mellin transform of this function in
terms of Wright hypergeometric function. Furthermore, we show that the extended
fractional derivative of the usual Mittag-Leffler function gives the extension
of Mittag-Leffler function.
