Mild solutions for perturbed evolution equations with finite state-dependent delay

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Dr. Djillali Aouad

Abstract

In this paper, we give sufficient conditions when the solution is depending on an finite delay to get the existence of mild solutions for two classes of first order perturbed semilinear functional and neutral functional fractional evolution equations by using the nonlinear alternative of Frigon and Granas for contractions maps in Frechet spaces.An example is provide to illustrate the theory

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