| 一类无穷区间上分数阶微分方程的三点边值问题解的存在性 |
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| 引用本文： | 张瑞鑫,王文霞.一类无穷区间上分数阶微分方程的三点边值问题解的存在性[J].华中师范大学学报(自然科学版),2020,54(3):345-351. |
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| 作者姓名： | 张瑞鑫 王文霞 |
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| 作者单位： | 太原师范学院数学系， 山西 晋中 030619 |
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| 摘 要： | 研究了一类无穷区间上分数阶微分方程的三点边值问题.利用Schauder不动点定理和Leray-Schauder非线性抉择定理讨论了边值问题解的存在性，最后给出例子说明定理的适用性.
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| 关 键 词： | 无穷区间 分数阶微分方程 边值问题 不动点 |
| 收稿时间： | 2020-06-17 |
Existence of solutions for a class of fractional differential equations with three-point boundary value problems on infinite interval |
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| ZHANG Ruixin,WANG Wenxia.Existence of solutions for a class of fractional differential equations with three-point boundary value problems on infinite interval[J].Journal of Central China Normal University(Natural Sciences),2020,54(3):345-351. |
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| Authors: | ZHANG Ruixin WANG Wenxia |
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| Institution: | Department of Mathematic， Taiyuan Normal University， Jinzhong， Shanxi 030619， China |
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| Abstract: | In this paper， we study existence of solutions for a class of fractional differential equations with three-point boundary value problems on infinite interval by using Schauder fixed point theorem and Leray-Schauder nonlinear alternative theorem.Two examples are presented to illustrate our results. |
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| Keywords: | infinite interval fractional differential equations the boundary value problem fixed point |
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