| 一类分数阶脉冲微分方程边值问题正解的存在唯一性 |
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| 引用本文： | 郑凤霞,古传运. 一类分数阶脉冲微分方程边值问题正解的存在唯一性[J]. 四川大学学报(自然科学版), 2019, 56(4): 600-606 |
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| 作者姓名： | 郑凤霞 古传运 |
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| 作者单位： | 四川文理学院数学学院,四川文理学院数学学院 |
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| 基金项目： | 四川省教育厅科研项目（17ZB0370，18ZB0512） |
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| 摘 要： | 本文利用混合单调算子的不动点定理得到了分数阶脉冲微分方程边值问题■存在唯一正解的新判据,其中1q2,~CD■为Caputo分数阶导数.
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| 关 键 词： | 分数阶脉冲微分方程 边值问题 正解 存在唯一性 |
| 收稿时间： | 2018-09-28 |
| 修稿时间： | 2019-02-20 |
Existence and uniqueness of positive solutions for a class of fractional impulsive differential equations with boundary value problems |
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| ZHENG Feng-Xia and GU Chuan-Yun. Existence and uniqueness of positive solutions for a class of fractional impulsive differential equations with boundary value problems[J]. Journal of Sichuan University (Natural Science Edition), 2019, 56(4): 600-606 |
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| Authors: | ZHENG Feng-Xia and GU Chuan-Yun |
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| Affiliation: | School of Mathematics, Sichuan University of Arts and Science and School of Mathematics, Sichuan University of Arts and Science |
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| Abstract: | By using the fixed point theorem for mixed monotone operator, a new criterion for the existence and uniqueness of positive solutions of a class of fractional impulsive differential equations with boundary conditions is established. |
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| Keywords: | Fractional impulsive differential equation Boundary value problem Positive solution Existence and uniqueness |
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