| 分数阶非线性迭代方程的周期解 |
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| 引用本文： | 李翠英,吴睿,程毅.分数阶非线性迭代方程的周期解[J].吉林大学学报(理学版),2021,59(3):555-558. |
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| 作者姓名： | 李翠英 吴睿 程毅 |
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| 作者单位： | 1. 渤海大学 数学科学学院, 辽宁 锦州 121013； 2. 长春财经学院 数学教研部, 长春 130122 |
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| 摘 要： | 考虑一类Caputo型分数阶导数意义下非线性迭代微分方程的周期问题, 在非线性项满足单边Lipschtiz条件下, 应用Leray-Schauder不动点定理和拓扑度理论, 证明该类非线性分数阶迭代微分方程解的存在性和唯一性.
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| 关 键 词： | 存在性 唯一性 分数阶 迭代方程 |
| 收稿时间： | 2020-12-18 |
Periodic Solutions for a Fractional Nonlinear Iterative Equations |
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| LI Cuiying,WU Rui,CHENG Yi.Periodic Solutions for a Fractional Nonlinear Iterative Equations[J].Journal of Jilin University: Sci Ed,2021,59(3):555-558. |
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| Authors: | LI Cuiying WU Rui CHENG Yi |
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| Institution: | 1. College of Mathematical Sciences, Bohai University, Jinzhou 121013, Liaoning Province, China;
2. Department of Mathematics, Changchun University of Finance and Economics, Changchun 130122, China |
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| Abstract: | We considered the periodic problem of a class of nonlinear iterative differential equation in the sense of Caputo type fractional derivative. Under one sided-Lipschtiz conditions on nonlinear term, the existence and uniqueness of solution for the nonlinear fractional iterative differential equations is proved by applying the Leray-Schauder fixed point theorem and topological degree theory. |
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| Keywords: | existence uniqueness fractional order iterative equation |
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