The Fractional Kinetic Equation

Abstract

In Astrophysics, kinetic equations designate a system of differential equations describing the rate of change of chemical composition of a star for each species in terms of the reaction rates for destruction and production of that species. Methods for modeling processes of destruction and production of stars have been developed for bio-chemical reactions and their unstable equilibrium states and for chemical reaction networks with unstable states, oscillations and hysteresis. The present paper aims at extending the solution of fractional kinetic equation obtained by Haubold and Mathai2 neglecting spatial fluctuations in any arbitrary reaction to a case incorporating such inhomogenieties.