Fractional integrals and solutions of fractional kinetic equations involving R- and G-functions

In this chapter, our main objective is to establish certain new fractional integrals by applying the Saigo hypergeometric fractional integral operators and by employing some integral transforms on the resulting formulas, we presented their image formulas. Furthermore, We develop a new and further generalized form of the fractional kinetic equation involving the R- and G-functions. The manifold generality of the R- and G-functions is discussed in terms of the solutions of the fractional kinetic equations and their graphical interpretation is presented. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.