TY - JOUR A2 - Hudzik, Henryk AU - Wang, JinRong AU - Ibrahim, Ahmed G. PY - 2013 DA - 2013/10/10 TI - Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces SP - 518306 VL - 2013 AB - We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions. Secondly, we establish two cases of sufficient conditions for the controllability of the considered control problems. SN - 2314-8896 UR - https://doi.org/10.1155/2013/518306 DO - 10.1155/2013/518306 JF - Journal of Function Spaces and Applications PB - Hindawi Publishing Corporation KW - ER -