Existence and continuous dependence for fractional neutral functional differential equations

In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.

Keywords:

Fractional differential equations , Functional differential equations , Fractional derivative and Fractional integral , Existence and continuous dependence , Fixed point theorem