| 具分数微分算子的分数阶微分方程边值问题正解的存在性 |
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| 引用本文： | 邓雪静,刘锡平,王晓. 具分数微分算子的分数阶微分方程边值问题正解的存在性[J]. 吉林大学学报(理学版), 2015, 53(5): 857-862 |
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| 作者姓名： | 邓雪静 刘锡平 王晓 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093 |
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| 摘 要： | 利用Leggett-Williams不动点定理和锥上不动点定理,研究一类具有分数线性微分算子的分数阶微分方程边值问题,得到了该边值问题至少1个正解和至少3个正解的存在性定理.
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| 关 键 词： | 分数线性微分算子 分数阶微分方程 边值问题 不动点定理 正解 |
| 收稿时间： | 2014-12-03 |
Existence of Positive Solutions for Boundary Value Problems of Fractional Differential Equations with Fractional Differential Operator |
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| DENG Xuejing,LIU Xiping,WANG Xiao. Existence of Positive Solutions for Boundary Value Problems of Fractional Differential Equations with Fractional Differential Operator[J]. Journal of Jilin University: Sci Ed, 2015, 53(5): 857-862 |
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| Authors: | DENG Xuejing LIU Xiping WANG Xiao |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | We discussed the existence of positive solutions for a class of boundary value problems of fractional differential equation with fractional linear differential operator. Based on the Leggett Williams fixed point theorem and the fixed point theorem in cones, the existence theorems of one positive solution or three positive solutions, existed at least, have been established, respectively. |
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| Keywords: | fractional linear differential operator fractional differential equation boundary value problems fixed point theorem positive solutions |
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