RESONANT BOUNDARY VALUE PROBLEMS FOR SINGULAR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS

被引：6
|
作者：
Liu, Yuji [1 ]
Yang, Xiaohui [1 ]
机构：
[1] Guangdong Univ Business Studies, Dept Math, Guangzhou 510320, Peoples R China
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2013年 / 5卷 / 03期
关键词：
solution; singular fractional differential equation; sup-multiplicative-like operator; coincidence degree theory; resonant boundary value-problem;
D O I：
10.7153/dea-0.5-26
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we present and study three class of resonant boundary value problems for singular fractional differential equations with sup-multiplicative-like operators. The existence results for solutions of these boundary-value prOblems are established. Our analysis relies on the well known coincidence degree theory Here the nonlinearity terms in fractional differential equations depend on D-0+(y) u and may he singular at t = 0 or t = 1. The results obtained generalize and enrich known results to some extent from the literature.
引用
收藏
页码：409 / 472
页数：64
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