| 含左右分数导数的时滞微分方程解的存在性和唯一性 |
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| 引用本文： | 黄雪楠,刘锡平. 含左右分数导数的时滞微分方程解的存在性和唯一性[J]. 上海理工大学学报, 2020, 42(4): 311-316 |
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| 作者姓名： | 黄雪楠 刘锡平 |
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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 |
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| 基金项目： | 国家自然科学基金资助项目（11171220） |
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| 摘 要： | 研究了一类含左右Caputo分数导数的时滞微分方程Riemann-Stieltjes积分边值问题。通过构建单调迭代序列并利用上下解方法得到了边值问题解的存在性与唯一性定理。最后给出实例以说明本文的主要结论的适用性。
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| 关 键 词： | 分数阶微分方程 分数阶左右导数 Riemann-Stieltjes积分 时滞 Caputo导数 上下解 |
| 收稿时间： | 2019-07-25 |
Existence and uniqueness of solutions for delay differential equations with left and right fractional derivatives |
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| HUANG Xuenan,LIU Xiping. Existence and uniqueness of solutions for delay differential equations with left and right fractional derivatives[J]. Journal of University of Shanghai For Science and Technology, 2020, 42(4): 311-316 |
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| Authors: | HUANG Xuenan LIU Xiping |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | A class of Riemann-Stieltjes integral boundary value problems for delay differential equations with Caputo left and right fractional derivatives was studied. The existence and uniqueness of solutions for the boundary value problems were obtained by constructing the monotone iterative sequences and using the method of upper and lower solutions. Finally, an example was given to illustrate the main conclusions. |
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| Keywords: | fractional differential equation fractional left and right derivative Riemann-Stieltjes integral time delay Caputo derivative upper and lower solutions |
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