Open Access Research

Existence of mild solutions for fractional evolution equations with nonlocal conditions

He Yang

Author Affiliations

Department of Mathematics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China

Boundary Value Problems 2012, 2012:113  doi:10.1186/1687-2770-2012-113

Published: 17 October 2012

Abstract

This paper deals with the existence and uniqueness of mild solutions for a class of fractional evolution equations with nonlocal initial conditions. We present some local growth conditions on a nonlinear part and a nonlocal term to guarantee the existence theorems. An example is given to illustrate the applicability of our results.

MSC: 34A12, 35F25.

Keywords:
fractional evolution equations; nonlocal initial conditions; existence; uniqueness