Some global existence and uniform asymptotic stability results for fractional functional differential equations are proved. It is worth mentioning that when the initial value problem reduces to a classical dissipative differential equation with delays as in Caraballo et al.'s work (2005).
"Uniform Asymptotic Stability of Solutions of Fractional Functional Differential Equations." Abstr. Appl. Anal. 2013 (SI41) 1 - 8, 2013. https://doi.org/10.1155/2013/532589