无穷区间上分数阶微分方程的迭代解
Iterative Solutions of Fractional Differential Equations on Infinite Interval
DOI: 10.12677/AAM.2022.113154, PDF, HTML, 下载: 251  浏览: 326  科研立项经费支持
作者: 胡晓蝶, 王 颖*, 闽梦琪, 谷德阳：临沂大学，数学与统计学院，山东 临沂
关键词: 分数阶微分方程；迭代解；无穷区间；Fractional Differential Equation； Iterative Solution； Infinite Interval
摘要: 本文主要研究无穷区间上的分数阶微分方程，应用单调迭代方法, 在一定的条件下，得到了方程的极值解和解的迭代序列。
Abstract: In this paper, we mainly investigate the fractional differential equation on infinite interval. Under certain conditions, we establish the existence of extremal solutions as well as iterative schemes by employing the monotone iterative technique.
文章引用：胡晓蝶, 王颖, 闽梦琪, 谷德阳. 无穷区间上分数阶微分方程的迭代解[J]. 应用数学进展, 2022, 11(3): 1412-1419. https://doi.org/10.12677/AAM.2022.113154

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