| 关于带有三点边值的非线性分数阶积分微分方程的解的存在性和惟一性 |
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| 引用本文： | 郭振宇,刘敏,王志敬.关于带有三点边值的非线性分数阶积分微分方程的解的存在性和惟一性[J].数学研究及应用,2016,36(1):79-86. |
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| 作者姓名： | 郭振宇 刘敏 王志敬 |
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| 作者单位： | 辽宁石油化工大学数学学院, 辽宁 抚顺 113001;辽宁石油化工大学数学学院, 辽宁 抚顺 113001;辽宁石油化工大学数学学院, 辽宁 抚顺 113001 |
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| 摘 要： | 本文考虑一个带有三点边值的非线性分数阶积分微分方程,并分别用Krasnoselskii不动点定理和Banach压缩映像原理建立了其解的存在性和惟一性的充分条件.
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| 关 键 词： | 分数阶积分微分方程 Krasnoselskii不动点定理 Banach压缩映像原理 分数阶边界条件 |
| 收稿时间： | 2014/12/22 0:00:00 |
| 修稿时间： | 2015/9/19 0:00:00 |
Existence and Uniqueness of Solutions for a Nonlinear Fractional Integrodifferential Equation with Three-Point Fractional Boundary Conditions |
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| Zhenyu GUO,Min LIU and Zhijing WANG.Existence and Uniqueness of Solutions for a Nonlinear Fractional Integrodifferential Equation with Three-Point Fractional Boundary Conditions[J].Journal of Mathematical Research with Applications,2016,36(1):79-86. |
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| Authors: | Zhenyu GUO Min LIU and Zhijing WANG |
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| Institution: | School of Sciences, Liaoning Shihua University, Liaoning 113001, P. R. China;School of Sciences, Liaoning Shihua University, Liaoning 113001, P. R. China;School of Sciences, Liaoning Shihua University, Liaoning 113001, P. R. China |
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| Abstract: | A nonlinear fractional integrodifferential equation with three-point fractional boundary conditions is studied in this paper, and some sufficient conditions for existence and uniqueness of solutions for the equation are established by Krasnoselskii fixed point theorem and Banach contraction principle, respectively. |
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| Keywords: | fractional integrodifferential equations Krasnoselskii fixed point theorem Banach contraction principle boundary fractional conditions |
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