Convergence Analysis of Implicit Euler Method for a Class of Nonlinear Impulsive Fractional Differential Equations

被引：3

作者：

Yu, Yuexin ^{[1
]}

Zhen, Sheng ^{[1
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

关键词：

EXISTENCE; STABILITY;

D O I：

10.1155/2020/8826338

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

For a class of nonlinear impulsive fractional differential equations, we first transform them into equivalent integral equations, and then the implicit Euler method is adapted for solving the problem. The convergence analysis of the method shows that the method is convergent of the first order. The numerical results verify the correctness of the theoretical results.

引用

页数：8

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