CONFORMABLE EXPONENTIAL DICHOTOMY AND ROUGHNESS OF CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATION

Baishun Wang; Jun Zhou

doi:10.11948/20240357

2025 Volume 15 Issue 2

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Baishun Wang, Jun Zhou. CONFORMABLE EXPONENTIAL DICHOTOMY AND ROUGHNESS OF CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 1170-1202. doi: 10.11948/20240357

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Baishun Wang, Jun Zhou. CONFORMABLE EXPONENTIAL DICHOTOMY AND ROUGHNESS OF CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 1170-1202. doi: 10.11948/20240357

CONFORMABLE EXPONENTIAL DICHOTOMY AND ROUGHNESS OF CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATION

Baishun Wang^1,2,,
Jun Zhou^2, ,

1.
Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641100, China
2.
School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066, China

Author Bio: Email: wbsmath@163.com(B. Wang)
Corresponding author: Email: matzhj@163.com(J. Zhou)

Abstract

Abstract

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.
- Conformable fractional differential equations /
- conformable exponential dichotomy /
- roughness /
- nonuniform dichotomy /
- stability
MSC: 34D09, 34A08, 37D25

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