Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837476 | Nonlinear Analysis: Real World Applications | 2012 | 8 Pages |
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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Authors
Bashir Ahmad, Juan J. Nieto, Ahmed Alsaedi, Moustafa El-Shahed,