Analyzing the Dynamics of Fractional Order Systems: A Topological Approach

Resumo

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.