@article{article_494662, title={Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay}, journal={Advances in the Theory of Nonlinear Analysis and its Application}, volume={3}, pages={18–34}, year={2019}, DOI={10.31197/atnaa.494662}, author={Benchohra, Mouffak and Aissani, Khalida and Nieto, Juan}, keywords={Impulsive fractional evolution,$\alpha$-resolvent family,solution operator,Caputo fractional derivative,mild solution,state-dependent delay,fixed point}, 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 <br />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.}, number={1}, publisher={Erdal KARAPINAR}