Global fractional-order projective dynamical systems

This paper studies a class of global fractional-order projective dynamical systems. First, we show the existence and uniqueness of the solution of this type of system. Then, the existence of the equilibrium point of this class of dynamical systems is obtained. Further more, we obtain the α-exponential stability of the equilibrium point under suitable conditions. In addition, we use a predictor–corrector algorithm to find a solution to this kind of system. Finally a numerical example is provided to illustrate the results obtained in this paper.