Application of Sumudu Transform in Fractional Kinetic Equations

In view of the great importance of fractional kinetic equations, we derive the solution of a generalized fractional kinetic equation using Sumudu transform. The fractional kinetic equation discussed here can be used to investigate a wide class of known (may be new also) fractional kinetic equations, hitherto scat- tered in the literature. The results presented are in compact forms suitable for numerical computation. Some special cases, involving the generalized Mittag- Leffler function and Lorenzo-Hartley function are considered. The obtained results imply more precisely the known results.