| 一类高分数阶微分方程积分边值问题的正解 |
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| 引用本文： | 张海燕,李耀红. 一类高分数阶微分方程积分边值问题的正解[J]. 四川大学学报(自然科学版), 2016, 53(3): 512-517 |
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| 作者姓名： | 张海燕 李耀红 |
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| 作者单位： | 宿州学院,安徽宿州学院数学与统计学院 |
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| 摘 要： | 利用锥拉伸和压缩不动点定理,研究了一类高分数阶微分方程积分边值问题,获得了相应的格林函数及其性质,同时给出了方程至少有一个和至少有两个正解的充分条件
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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： | 2015-03-15 |
| 修稿时间： | 2015-05-23 |
Positive solution to integral boundary value problem for a class of higher fractional differential equation |
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| ZHANG Hai-Yan and LI Yao-Hong. Positive solution to integral boundary value problem for a class of higher fractional differential equation[J]. Journal of Sichuan University (Natural Science Edition), 2016, 53(3): 512-517 |
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| Authors: | ZHANG Hai-Yan and LI Yao-Hong |
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| Affiliation: | Su Zhou University, |
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| Abstract: | By using fixed point theory of cone expansion and compression of norm type, a class of boundary value problem for higher fractional differential equation with integral conditions isinvestigated. The relevant Green function and its property isobtained. At the same time,some sufficient conditions on theexistence of at least one and two positive solutions areestablished. |
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| Keywords: | Positive solution Integral boundary value problem Fractional differential equation Fixed point theory |
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