|
|||||
|
|
| 一类分数阶微分方程边值问题正解的存在性 | |
| 引用本文： | 卢芳,周宗福. 一类分数阶微分方程边值问题正解的存在性[J]. 纯粹数学与应用数学, 2011, 27(5): 672-678 |
| 作者姓名： | 卢芳 周宗福 |
| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
| 基金项目： | 国家自然科学基金，安徽省教育厅重点项目(KJ200gAO，高校博士点专项科研基金，安徽大学学术创新团队项目 |
| 摘 要： | 构建了一格林函数，采用新的分析方法即利用锥拉伸锥压缩不动点定理和Leggett—Williams不动点定理，在较弱的条件下研究了一类分数阶微分方程，得到该问题一个以及多个正解的存在性，使原有结果得到进一步改进，并给出了一个实例． |
| 关 键 词： | 正解 不动点定理 分数阶边值问题 |
The existence of multiple positive solutions of a class of fractional differential equation |
|
| LU Fang,ZHOU Zong-fu. The existence of multiple positive solutions of a class of fractional differential equation[J]. Pure and Applied Mathematics, 2011, 27(5): 672-678 | |
| Authors: | LU Fang ZHOU Zong-fu |
| Affiliation: | LU Fang,ZHOU Zong-fu(School of Mathematical Sciences,Anhui University,Hefei 230039,China) |
| Abstract: | In this paper, constructing a Green fimction, under mild conditions, we investigate the existence and multiplicity of positive solutions for nonlinear fractional differential equation by using Krasnoselkiis fixedpoint and Leggett-Williams fixed-point. An improvement over many known results, examples are presented to illustrate tile main results. |
| Keywords: | positive solutions fixed-point theorem fractional boundary value problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |