期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:311
Positive solutions for boundary value problem of nonlinear fractional differential equation
Article
Bai, ZB ; Lü, HS
关键词: fractional differential equation;    boundary value problem;    positive solution;    Green's function;    fixed-point theorem;   
DOI  :  10.1016/j.jmaa.2005.02.052
来源: Elsevier
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【 摘 要 】

In this paper, we investigate the existence and multiplicity of positive solutions for nonlinear fractional differential equation boundary value problem: [GRAPHICS] where 1 < alpha <= 2 is a real number, D-0+(alpha) is the standard Riemann-Liouville differentiation, and f : [0, 1] x [0, infinity) -> [0, infinity) is continuous. By means of some fixed-point theorems on cone, some existence and multiplicity results of positive solutions are obtained. The proofs are based upon the reduction of problem considered to the equivalent Fredholm integral equation of second kind. (c) 2005 Elsevier Inc. All rights reserved.

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