Article ID Journal Published Year Pages File Type
473426 Computers & Mathematics with Applications 2011 10 Pages PDF
Abstract

In this paper, we investigate global uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces. We shall rely on a nonlinear alternative of Leray–Schauder type in Fréchet spaces due to Frigon and Granas. The results are obtained by using the αα-resolvent family (Sα(t))t≥0(Sα(t))t≥0 on a complex Banach space XX combined with the above-mentioned fixed point theorem. As an application, a controllability result with one parameter is also provided to illustrate the theory.

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