In the present paper, differentiation and integration of some generalized functions of Mittag-Leffler type are considered. Also derived the relations that exists between this function and the operators of Riemann-Liouville fractional integrals and derivatives. Some special cases of derived results are discussed. Results derived in this paper are the extensions of the results given earlier by Haubold et al., Kilbas et al. and Saxena et al..
Keywords:- Fractional Calculus, Riemann-Liouville Fractional Integrals and Derivatives, M-Series, Generalized M-Series, K-Function.