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

DOI: 10.1155/2011/720702

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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.

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