Modelling linear reactions in inhomogeneous catalytic systems

Abstract

The kinetics of linear chemical reactions in an inhomogeneous medium is modeled as an evolutionary system characterized by a fractional derivative. The corresponding mathematical model depending on one nonlocal parameter 0 < α < 1 is proposed. Reactions with one degree of freedom are analyzed. Solutions of the corresponding kinetic equations are shown to depend on the nonlocality parameter α. The concept of the critical moment of time is introduced, and the dependence of its value on the value of the relaxation coefficient is determined.