Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses

This article contains the existence results of the mild solutions of an abstract semilinear neutral fractional differential equations with not instantaneous impulses. The results are proved by using the theory of analytic alpha-resolvent family and fixed point theorems. One application involving partial differential equations with impulses are presented. (C) 2015 Elsevier Inc. All rights reserved.