| 具有逐项分数阶导数的微分方程边值问题解的存在性 |
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| 引用本文： | 李燕,刘锡平,李晓晨,张莎.具有逐项分数阶导数的微分方程边值问题解的存在性[J].纯粹数学与应用数学,2016,32(5):470-480. |
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| 作者姓名： | 李燕 刘锡平 李晓晨 张莎 |
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| 作者单位： | 上海理工大学理学院,上海,200093;上海理工大学理学院,上海,200093;上海理工大学理学院,上海,200093;上海理工大学理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金(11171220)，沪江基金(B14005) |
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| 摘 要： | 研究了一类具有逐项分数阶导数的微分方程边值问题.对参数的各种取值情况进行了全面的分析,运用Banach压缩映射原理和Schauder不动点定理,得到并证明了边值问题解的存在性定理.最后,给出了两个例子来证明结论有效.
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| 关 键 词： | 分数阶微分方程 逐项分数阶导数 边值问题 Banach压缩映射原理 Schauder不动点定理 |
Existence of solutions for boundary value problem of fractional differential equations involving sequential fractional derivative |
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| Li Yan,Liu Xiping,Li Xiaochen,Zhang Sha.Existence of solutions for boundary value problem of fractional differential equations involving sequential fractional derivative[J].Pure and Applied Mathematics,2016,32(5):470-480. |
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| Authors: | Li Yan Liu Xiping Li Xiaochen Zhang Sha |
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| Abstract: | This paper investigates the existence of solutions for boundary value problem of fractional differential equations involving sequential fractional derivative. To analyze comprehensively the parameters and by using Banach contraction mapping principle and Schauder fixed point theorem, some new results on the existence of solution for the boundary value problem are obtained. Finally, we give two examples to illustrate our results. |
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| Keywords: | fractional differential equation sequential fractional derivative boundary value problem Banach contraction mapping principle Schauder fixed point theorem |
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