Solutions of certain fractional kinetic equations and a fractional diffusion equation

Abstract

In view of the usefulness and importance of kinetic equations in certain physical problems, the authors derive an explicit solution of a fractional kinetic equation of general character that unifies and extends earlier results. Further, an alternative shorter method based on a result developed by the authors is given to derive the solution of a fractional diffusion equation. Solutions are represented in terms of H-functions and generalized Mittag–Leffler functions.