Boundary Value Problems (Jan 2011)
New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
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.