On generalized global fractional-order composite dynamical systems with set-valued perturbations

Abstract

In this paper, we investigate a class of generalized global fractional-order composite dynamical systems involving set-valued perturbations in real separable Hilbert spaces. First, we prove that the solution set of the systems is nonempty and closed under some suitable conditions. Second, we show that the solution set is continuous with respect to the initial value in the sense of the Hausdorff metric. Last, an example is provided to illustrate the applicability of the main results.