Existence of positive solutions for a boundary value problem of nonlinear fractional differential equations

被引：0
作者：
Yude Ji
Yanping Guo
Jiqing Qiu
Liyun Yang
机构：
[1] Hebei University of Science and Technology,College of Sciences
[2] Hebei University of Science and Technology,School of Electrical Engineering
来源：
Advances in Difference Equations | / 2015卷
关键词：
boundary value problem; fractional differential equation; fixed point theorem;
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摘要：
In this paper, we investigate the existence and multiplicity results of positive solutions for a boundary value problem of nonlinear fractional differential equations. The differential operator is taken in the Riemann-Liouville sense and the nonlinear term depends on the fractional derivative of an unknown function. We derive first the associated Green’s function and prove its properties. Consequently, the considered problem is deduced to an equivalent integral equation. Next, by means of the Leggett-Williams fixed point theory, we obtain the existence and multiplicity results of positive solutions.
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