Application of Fractional Calculus Operators to Related Areas

In this paper a new function called as K-function, which is an extension of the generalization of the Mittag-Leffler function[10,11] and its generalized form introduced by Prabhakar[20], is introduced and studied by the author in terms of some special functions and derived the relations that exists between the K- function and the operators of Riemann-Liouville fractional integrals and derivatives.