| 无穷区间上一类分数阶微分方程正解的显式迭代序列 |
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| 引用本文： | 张海燕,李耀红. 无穷区间上一类分数阶微分方程正解的显式迭代序列[J]. 数学研究及应用, 2020, 40(1): 13-25 |
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| 作者姓名： | 张海燕 李耀红 |
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| 作者单位： | 宿州学院数学与统计学院, 安徽 宿州 234000; 安徽大学数学科学学院, 安徽 合肥 230601,宿州学院数学与统计学院, 安徽 宿州 234000 |
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| 基金项目： | 安徽省高校自然科学基金重点项目(Grant Nos.KJ2017A442; KJ2018A0452; KJ2019A0666), 宿州学院基金(Grant Nos.2016XJGG13; 2019XJZY02; 2019XJSN03). |
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| 摘 要： | By applying the monotone iterative method,this study develops two explicit monotone iterative sequences for approximating the minimal and maximal positive solutions.At the same time,by applying the Banach fixed-point theory,an explicit iterative sequence and error estimate for approximating the unique positive solution is obtained.Some examples are given to illustrate the application of the results.
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| 关 键 词： | monotone iterative method iterative sequences fractional differential equations infinite interval |
| 收稿时间： | 2018-10-17 |
| 修稿时间： | 2019-04-11 |
Explicit Iterative Sequences of Positive Solutions for a Class of Fractional Differential Equations on an Infinite Interval |
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| Haiyan ZHANG and Yaohong LI. Explicit Iterative Sequences of Positive Solutions for a Class of Fractional Differential Equations on an Infinite Interval[J]. Journal of Mathematical Research with Applications, 2020, 40(1): 13-25 |
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| Authors: | Haiyan ZHANG and Yaohong LI |
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| Affiliation: | School of Mathematics and Statistics, Suzhou University, Anhui 234000, P. R. China; School of Mathematics Sciences, Anhui University, Anhui 230601, P. R. China and School of Mathematics and Statistics, Suzhou University, Anhui 234000, P. R. China |
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| Abstract: | By applying the monotone iterative method, this study develops two explicit monotone iterative sequences for approximating the minimal and maximal positive solutions. At the same time, by applying the Banach fixed-point theory, an explicit iterative sequence and error estimate for approximating the unique positive solution is obtained. Some examples are given to illustrate the application of the results. |
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| Keywords: | monotone iterative method iterative sequences fractional differential equations infinite interval |
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