| 非线性分数阶微分方程边值问题正解的存在性 |
| |
| 引用本文： | 黄郑,蒋威,程媛媛. 非线性分数阶微分方程边值问题正解的存在性[J]. 安庆师范学院学报(自然科学版), 2012, 18(4): 8-10 |
| |
| 作者姓名： | 黄郑 蒋威 程媛媛 |
| |
| 作者单位： | 安徽大学数学科学学院,安徽合肥,230601;安徽大学数学科学学院,安徽合肥,230601;安徽大学数学科学学院,安徽合肥,230601 |
| |
| 摘 要： | 利用Green函数的性质和Schauder不动点定理研究了一类非线性分数阶微分方程边值问题正解的存在性,得到了该问题一个解的存在性。
|
| 关 键 词： | 分数微分方程 Schauder不动点定理 边值问题 Riemann—Liouville导数 |
Existence of Solution for a Boundary Value Problem of a Nonlinear Fractional Differential Equation |
| |
| HUANG Zheng,JIANG Wei,CHENG Yuan-yuan. Existence of Solution for a Boundary Value Problem of a Nonlinear Fractional Differential Equation[J]. Journal of Anqing Teachers College(Natural Science Edition), 2012, 18(4): 8-10 |
| |
| Authors: | HUANG Zheng JIANG Wei CHENG Yuan-yuan |
| |
| Affiliation: | (School of Mathematical Sciences,Anhui University,Hefei,Anhui 230601,China) |
| |
| Abstract: | By using the properties of Green function and Schauder fixed point theorem,the existence of positive solutions to boundary value problem for a nonlinear fractional differential equation is studied in this paper. |
| |
| Keywords: | fractional differential equation Schauder fixed point theorem boundary value problem Riemann-Liouville derivative |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
