Certain Priorities Of The Generalized Mittag- Leffler Function

Abstract:

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.[7], Kilbas et al.[1] and Saxena et al.[11].

Keywords:- Fractional Calculus, Riemann-Liouville Fractional Integrals and Derivatives, M-Series, Generalized M-Series, K-Function.

Kishan Sharma