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Open Access Research Article

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

Meiqiang Feng1*, Xuemei Zhang23 and WeiGao Ge3

Author affiliations

1 School of Applied Science, Beijing Information Science & Technology University, Beijing 100192, China

2 Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

3 Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

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Citation and License

Boundary Value Problems 2011, 2011:720702  doi:10.1155/2011/720702

Published: 20 July 2010

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.