Work

Mittag-Leffler ultimate boundedness of fractional-order nonautonomous delay systems

Year: 2025

Type: article

Abstract: This paper investigates the Mittag-Leffler ultimate boundedness of fractional-order nonautonomous systems with delay. First, using the properties of the Mittag-Leffler function and the fractional-order comparison principle, a novel fractional-order nonautonomous Halanay inequality is proposed, which no longer requires the conditions of boundedness and common factors of the coefficients of the systems. This implies that the conditions are less conservative than the existing results. Then, with the help of the obtained inequality, some criteria for the Mittag-Leffler ultimate boundedness of the considered system are derived. Finally, examples are given to demonstrate the effectiveness of the findings.

Source: Chaos Solitons & Fractals

DOI: 10.1016/j.chaos.2025.116482

Authors: Baizeng Bao, Liguang Xu

Institutions: Zhejiang Normal University, University of Shanghai for Science and Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,970

Funder: National Natural Science Foundation of China