Existence of Positive Solutions to a Boundary Value Problem for a Delayed Nonlinear Fractional Differential System

被引：0
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作者：
Zigen Ouyang
Yuming Chen
Shuliang Zou
机构：
[1] University of South China,School of Mathematics and Physics, School of Nuclear Science and Technology
[2] Wilfrid Laurier University,Department of Mathematics
[3] University of South China,School of Nuclear Science and Technology
来源：
Boundary Value Problems | / 2011卷
关键词：
Ordinary Differential Equation; Fractional Order; Fractional Derivative; Fixed Point Theorem; Fractional Differential Equation;
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摘要：
Though boundary value problems for fractional differential equations have been extensively studied, most of the studies focus on scalar equations and the fractional order between 1 and 2. On the other hand, delay is natural in practical systems. However, not much has been done for fractional differential equations with delays. Therefore, in this paper, we consider a boundary value problem of a general delayed nonlinear fractional system. With the help of some fixed point theorems and the properties of the Green function, we establish several sets of sufficient conditions on the existence of positive solutions. The obtained results extend and include some existing ones and are illustrated with some examples for their feasibility.
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