| 一类分数阶微分方程积分边值问题的正解 |
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| 引用本文： | 张立新,杨玉洁,贾文敬.一类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),2017,54(6):1169-1172. |
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| 作者姓名： | 张立新 杨玉洁 贾文敬 |
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| 作者单位： | 北京联合大学,北京联合大学,北京联合大学 |
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| 摘 要： | 应用Krasnosel''skii及Leggett-Williams不动点定理，研究了一类含积分边界条件的Caputo型分数阶微分方程的边值问题，得到了一个及三个正解存在的充分条件.
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| 关 键 词： | 积分边值问题 正解 分数阶微分方程 不动点定理 |
| 收稿时间： | 2017/2/19 0:00:00 |
| 修稿时间： | 2017/5/3 0:00:00 |
Positive solutions to integral boundary value problem for a class of fractional differential equations |
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| ZHANG Li-Xin,YANG Yu-Jie and JIA Wen-Jing.Positive solutions to integral boundary value problem for a class of fractional differential equations[J].Journal of Sichuan University (Natural Science Edition),2017,54(6):1169-1172. |
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| Authors: | ZHANG Li-Xin YANG Yu-Jie and JIA Wen-Jing |
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| Institution: | Beijing Union University,Beijing Union University,Beijing Union University |
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| Abstract: | We investigate the existence of positive solutions for Caputo''s fractional differential equations with integral boundary conditions. By means of Krasnosel''skii fixed point theorem and Leggett-Williams fixed point theorem, the existence theorems of one positive solution or three positive solutions are obtained, respectively. |
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| Keywords: | Integral boundary value problem Positive solution Fractional differential equation Fixed point theorem |
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