Electronic Journal of Differential Equations, Vol. 2010(2010), No. 31, pp. 1-10. Title: Stability for a non-local non-autonomous system of fractional order differential equations with delays Authors: Ahmed M. A. El-Sayed (Alexandria Univ., Egypt) Fatma M. Gaafar (Alexandria Univ., Egypt) Eman M. A. Hamadalla (Alexandria Univ., Egypt) Abstract: In this article, we establish sufficient conditions for the existence, uniqueness and uniformly stability of solutions for a class of nonlocal non-autonomous system of fractional-order delay differential equations with several delays. Submitted October 12, 2009. Published February 26, 2010. Math Subject Classifications: 34A12, 34A30, 34D20. Key Words: Riemann-Liouvile derivatives; nonlocal non-autonomous system; time-delay system; stability analysis.