Modelling linear reactions in inhomogeneous catalytic systems

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 $0< alpha <1$ is proposed. Reactions with one degree of freedom are analyzed. Solutions of the corresponding kinetic equations are shown to depend on the nonlocality parameter $alpha $ . 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.