Topological Techniques for Studying Solution Sets of Fractional Neutral Delay Differential Equations

Abstract

This article investigates the topological structure set of all mild solutions. The equation has been discussed in this article is Fractional constant evolution equation with finite delay on half line. Our purpose is to show that our solution set is an R_ set. It was proved on compact intervals. The compact intervals was made by satisfying a result on topological forms of fixed point set by using the krasnosel skii type operators. And at the end, we apply the inverse limit method. By using this method we get the conclusions on half line.