CONFORMABLE EXPONENTIAL DICHOTOMY AND ROUGHNESS OF CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATION

被引：0
作者：
Wang, Baishun [1 ,2 ]
Zhou, Jun [2 ]
机构：
[1] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Sichuan, Peoples R China
[2] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Sichuan, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2025年 / 15卷 / 02期
关键词：
Conformable fractional differential equations; roughness; nonuniform dichotomy; Conformable exponential dichotomy; stability; STABILITY QUESTION; DIFFUSION; EXISTENCE; CAPUTO;
D O I：
10.11948/20240357
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The solutions of traditional fractional differential equations neither satisfy group property nor generate dynamical systems, so hyperbolicity of these equations is difficult to study. Benefitting from the new proposed conformable fractional derivative, we investigate dichotomy of conformable fractional equations, including conformable exponential dichotomy and stability, roughness and nonuniform dichotomy.
引用
收藏
页码：1170 / 1202
页数：33
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