Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

Abstract

In this paper, sufficient conditions are provided for the controllability of impulsive fractional evolution inclusions with state-dependent delay in Banach spaces. We used  a
fixed-point theorem for condensing maps due to Bohnenblust--Karlin and the theory of semigroup for the achievement of the results. An Illustrative example is presented.

Keywords

• Impulsive fractional evolution,$\alpha$-resolvent family,solution operator,Caputo fractional derivative,mild solution,state-dependent delay,fixed point

Kaynakça

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