| 具有脉冲的分数阶Bagley-Torvik 模型边值问题 |
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| 引用本文： | 刘玉记. 具有脉冲的分数阶Bagley-Torvik 模型边值问题[J]. 数学年刊A辑(中文版), 2018, 39(3): 309-330 |
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| 作者姓名： | 刘玉记 |
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| 作者单位： | 广东财经大学数学与统计学院 |
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| 基金项目： | 本文受到广东省自然科学基金(No.S2011010001900)和广州市科技计划项目(No.201804010350)的资助. |
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| 摘 要： | 将具有脉冲的分数阶Bagley-Torvik微分方程边值问题巧妙地转化为积分方程,定义加权Banach空间及全连续算子,运用不动点定理获得该边值问题解的存在性定理.举例说明了定理的应用.最后提出有趣的研究问题.
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| 关 键 词： | 脉冲分数阶Bagley-Torvik微分方程 边值问题 Schaefer不动点定理 |
| 收稿时间： | 2015-11-26 |
| 修稿时间： | 2017-07-12 |
Boundary Value Problems for Fractional Order Bagley-Torvik Models with Impulse Effects |
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| LIU Yuji. Boundary Value Problems for Fractional Order Bagley-Torvik Models with Impulse Effects[J]. Chinese Annals of Mathematics, 2018, 39(3): 309-330 |
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| Authors: | LIU Yuji |
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| Affiliation: | School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China. |
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| Abstract: | The author converts the boundary value problem for impulsive fractional order Bagley-Torvikdifferential equation to an integral equation technically (a new method). By defining a weightedfunction Banach space and a completely continuous operator, some existence results for solutionsare established. This analysis relies on the well known Schauder''s fixed point theorem. Examplesare given to illustrate the main results. |
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| Keywords: | Impulsive fractional order Bagley-Torvik differential equation Boundary value problem Schaefer''s fixed point theorem |
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