Mathematical modeling of fractional reaction-diffusion systems with different order time derivatives

The linear stability analysis is studied for a two-component fractional reaction-diffusion system with different derivative indices. Two different cases are considered: when the activator index is larger than the inhibitor one and when the inhibitor variable index is larger than the activator one. The general analysis is confirmed by computer simulation of the system with cubic nonlinearity. It is shown that systems with a higher activator variable index lead to a much more complicated space-time dynamics. © 2010 Springer Science+Business Media, Inc.