A new class of global fractional-order projective dynamical systems in hilbert spaces

Abstract

In this paper, by using the Sadovskii fixed point theorem, an existence theorem of solutions for a new class of global fractional-order projective dynamical systems is proved under some suitable conditions. Furthermore, the sensitivity of the solutions set with perturbation of both the constraint set and mapping for the global fractional-order projective dynamical system is also obtained. Finally, a numerical example is given to illustrate the main results presented in this paper.