Analyzing the Dynamics of Fractional Order Systems: A Topological Approach
Abstract
This paper predict the topological forms of a mild solution for a control problem governed by semi linear fractional impulsive evolution equations with non local conditions. The R_ property of the mild solution set gained by applying the steps of non compactness and a fixed point theorem of condensing maps and a fixed point theorem of non convex valued maps.Then this result is applying to the show that the control problem which is done and has a reachable invariant set governed by non linear perturbations. The gained conclusions are also applying to properties the almost controllability of presented control problem.
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