Abstract

We provide in this paper, sufficient conditions for the existence of the unique mild solution on the semi-infinite interval for fractional integro-differential equa- tions with time delay by using a recent nonlinear alternative of Leray-Schauder type due to Frigon and Granas for contractions maps in Frechet spaces. Mathematics Subject Classication 2000: 26A33, 45J05, 45G05, 34A08, 34K37.

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