Generalized K4-function and its application in solving kinetic equation of fractional order

Abstract

This paper is devoted to introduce a new generalized K4- function in terms of some special functions. The differ-integration of this function is also investigated. A method for deriving the solution of the generalized fractional kinetic equation in term of the generalized K4- function defined, generalized M-Series and generalized Mittag – Leffler function is investigated. The applied method depends on the fractional differ-integral operator techniques.