Uniqueness criteria for initial value problem of conformable fractional differential equation

被引：0

作者：

Zou, Yumei ^{[1
]}

Cui, Yujun ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 07期

基金：

中国国家自然科学基金;

关键词：

conformable fractional differential equations; uniqueness of solution; initial value problem;

D O I：

10.3934/era.2023207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents four uniqueness criteria for the initial value problem of a differential equation which depends on conformable fractional derivative. Among them is the generalization of Nagumo-type uniqueness theory and Lipschitz conditional theory, and advances its development in proving fractional differential equations. Finally, we verify the main conclusions of this paper by providing four concrete examples.

引用

页码：4077 / 4087

页数：11

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