| 一类非线性分数阶微分方程边值问题的正解 |
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| 引用本文： | 李耀红.一类非线性分数阶微分方程边值问题的正解[J].吉林大学学报(理学版),2015,53(1):21-26. |
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| 作者姓名： | 李耀红 |
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| 作者单位： | 宿州学院 数学与统计学院, 安徽 宿州 234000 |
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| 基金项目： | 国家自然科学基金，安徽省高校自然科学基金重点项目 |
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| 摘 要： | 利用锥拉伸和压缩不动点定理研究一类非线性分数阶微分方程积分边值问题,获得了其相应的格林函数及正解的存在性条件,并给出了应用实例.
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| 关 键 词： | 正解 积分边值问题 分数阶微分方程 不动点定理 |
| 收稿时间： | 2014-04-28 |
Positive Solution to Boundary Value Problem for a Class of Nonlinear Fractional Differential Equation |
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| LI Yaohong.Positive Solution to Boundary Value Problem for a Class of Nonlinear Fractional Differential Equation[J].Journal of Jilin University: Sci Ed,2015,53(1):21-26. |
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| Authors: | LI Yaohong |
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| Institution: | School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui Province, China |
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| Abstract: | Using fixed point theory of cone expansion and compression of norm type, we investigated a class of boundary value problem for nonlinear fractional
differential equation with integral conditions. The relevant Green function and some sufficient conditions on the existence of positive solutions were established. Some examples were given to illustrate the application of the result. |
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| Keywords: | positive solution integral boundary value problem fractional differential equation fixed point theory |
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