Stability of a nonlinear non-autonomous fractional order systems with different delays and non-local conditions

Abstract

In this paper, we establish sufficient conditions for the existence of a unique solution for a class of nonlinear non-autonomous system of Riemann-Liouville fractional differential systems with different constant delays and non-local condition is. The stability of the solution will be proved. As an application, we also give some examples to demonstrate our results. © 2011 El-Sayed and Gaafar; licensee Springer.