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

页码：409 / 472

页数：64

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