Existence of mild solution for evolution equation with Hilfer fractional derivative

The paper is concerned with existence of mild solution of evolution equation with Hilfer fractional derivative which generalized the famous Riemann-Liouville fractional derivative. By noncompact measure method, we obtain some sufficient conditions to ensure the existence of mild solution. Our results are new and more general to known results. (C) 2014 Elsevier Inc. All rights reserved.