| 一类非线性分数阶积分微分方程解的存在性与模拟仿真 |
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| 引用本文： | 孙文超,苏有慧,孙爱.一类非线性分数阶积分微分方程解的存在性与模拟仿真[J].吉林大学学报(理学版),2021,59(4):828-836. |
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| 作者姓名： | 孙文超 苏有慧 孙爱 |
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| 作者单位： | 1. 沈阳工业大学 理学院, 沈阳 110870; 2. 徐州工程学院 数学与统计学院, 江苏 徐州 221018 |
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| 摘 要： | 首先,用Banach压缩映射原理和Krasnoselskii不动点定理研究一类非线性分数阶积分微分方程解的存在性,得到了其至少存在一个解和存在唯一解的结果;其次,通过迭代法对两个实例进行模拟仿真验证所得结果.
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| 关 键 词： | 分数阶积分微分方程 模拟仿真 存在性 迭代法 |
| 收稿时间： | 2020-12-02 |
Existence and Simulation of Solutions for a Class of Nonlinear Fractional Integro-Differential Equations |
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| SUN Wenchao,SU Youhui,SUN Ai.Existence and Simulation of Solutions for a Class of Nonlinear Fractional Integro-Differential Equations[J].Journal of Jilin University: Sci Ed,2021,59(4):828-836. |
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| Authors: | SUN Wenchao SU Youhui SUN Ai |
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| Institution: | 1. College of Science, Shenyang University of Technology, Shenyang 110870, China;
2. School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, Jiangsu Province, China |
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| Abstract: | Firstly, by using the Banach contraction principle and Krasnoselskii fixed point theorem, we studied the existence of solutions for a class of nonlinear fractional integro-differential equations, and obtained the result that there was at least one solution and there was a unique solution. Secondly, two examples were simulated by using the iterative method to verify the results. |
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| Keywords: | fractional integro-differential equations simulation existence iterative method |
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