Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions

被引：0
作者：
Nemat Nyamoradi
Dumitru Baleanu
Ravi P Agarwal
机构：
[1] Razi University,Department of Mathematics, Faculty of Sciences
[2] King Abdulaziz University,Department of Chemical and Materials Engineering, Faculty of Engineering
[3] Cankaya University,Department of Mathematics and Computer Sciences, Faculty of Art and Sciences
[4] Institute of Space Sciences,Department of Mathematics
[5] Texas A M University-Kingsville,Department of Mathematics
[6] King Abdulaziz University,undefined
来源：
Advances in Difference Equations | / 2013卷
关键词：
cone; contraction mapping principle; fixed point theorem; Riemann-Liouville fractional derivative;
D O I：
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摘要：
In this manuscript, we consider two problems of boundary value problems for a fractional differential equation. A fixed point theorem in partially ordered sets and a contraction mapping principle are applied to prove the existence of at least one positive solution for both fractional boundary value problems.
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