Article ID Journal Published Year Pages File Type
837476 Nonlinear Analysis: Real World Applications 2012 8 Pages PDF
Abstract

This paper studies a nonlinear Langevin equation involving two fractional orders α∈(0,1]α∈(0,1] and β∈(1,2]β∈(1,2] with three-point boundary conditions. The contraction mapping principle and Krasnoselskii’s fixed point theorem are applied to prove the existence of solutions for the problem. The existence results for a three-point third-order nonlocal boundary value problem of nonlinear ordinary differential equations follow as a special case of our results. Some illustrative examples are also discussed.

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