In view of the usefulness and a great importance of the kinetic equation in certain astrophysical problems the authors develop a new and further generalized form of the fractional kinetic equation involving Mittag-Leffler function and G-function. This new generalization can be used for the computation of the change of chemical composition in stars like the sun. The manifold generality of the Mittag-Leffler function and G-function is discussed in terms of the solution of the above fractional kinetic equation. Saxena et al. [21, 22] derived the solutions of generalized fractional kinetic equations in terms of Mittaz-Leffler functions by the application of Laplace transform [9, 23]. The present work is extension of earlier work done by Saxena et al. [21, 22], and Chaurasia and Pandey .