Boundary Value Problems
Volume 2011 (2011), Article ID 720702, 20 pages
doi:10.1155/2011/720702
Research Article

New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions

Meiqiang Feng,1 Xuemei Zhang,2,3 and WeiGao Ge3

1School of Applied Science, Beijing Information Science & Technology University, Beijing 100192, China
2Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
3Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Received 16 March 2010; Revised 24 May 2010; Accepted 5 July 2010

Academic Editor: Feliz Manuel Minhós

Copyright © 2011 Meiqiang Feng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying Krasnoselskii's fixed-point theorem in cones. The nonexistence of positive solutions is also studied.