New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
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
Boundary Value Problems 2011, 2011:720702 doi:10.1155/2011/720702Published: 20 July 2010
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.