Electron. J. Diff. Equ.,
Vol. 2012 (2012), No. 234, pp. 111.
Existence and uniqueness of positive solutions to higherorder
nonlinear fractional differential equation with integral
boundary conditions
Chenxing Zhou
Abstract:
In this article, we consider the nonlinear fractional order
threepoint boundaryvalue problem
where
is the standard RiemannLiouville fractional
derivative,
,
. By using a fixedpoint
theorem in partially ordered sets, we obtain sufficient conditions
for the existence and uniqueness of positive and nondecreasing
solutions to the above boundary value problem.
Submitted September 19, 2012. Published December 21, 2012.
Math Subject Classifications: 26A33, 34B18, 34B27.
Key Words: Partially ordered sets; fixedpoint theorem; positive solution.
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Chenxing Zhou
College of Mathematics
Changchun Normal University
Changchun 130032, Jilin, China

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