New Results on Existence of a Class of Caputo Neutral Fractional Differential Equation Dependence on Lipschitz First Derivative

Abstract

In this article, we discussed the existence and uniqueness solution for the class of Caputo fractional neutral functional differential equations with addiction on the Lipschitz first derivative conditions in Banach space. The result is established on Krasnoselskii's Fixed point theorem. As well as, an example is illustrate the results.