Open Access Research

On mixed boundary value problem of impulsive semilinear evolution equations of fractional order

Lihong Zhang1, Guotao Wang1* and Guangxing Song2

Author Affiliations

1 School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, P. R. China

2 Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, P. R. China

For all author emails, please log on.

Boundary Value Problems 2012, 2012:17  doi:10.1186/1687-2770-2012-17

Published: 14 February 2012

Abstract

This article studies the existence and uniqueness of solutions for impulsive semi-linear evolution equations of fractional order α ∈ (1, 2] with mixed boundary conditions. Some standard fixed point theorems are applied to prove the main results. An illustrative example is also presented.

Mathematics Subject Classification: 26A33; 34K30; 34K45.

Keywords:
evolution equations of fractional order; impulse; mixed boundary conditions; fixed point theorem.