Electronic Journal of Qualitative Theory of Differential Equations (Aug 2012)
Existence and continuous dependence of mild solutions for fractional abstract differential equations with infinite delay
Abstract
In this paper, we prove the existence, uniqueness, and continuous dependence of the mild solutions for a class of fractional abstract differential equations with infinite delay. The results are obtained by using the Krasnoselskii's fixed point theorem and the theory of resolvent operators for integral equations.
Keywords