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Stability Criteria for Nonlinear-Truncated V-Fractional-Order Derivative Systems with Applications to Synchronization

Year: 2026

Type: article

Abstract: This paper investigates the stability of nonlinear systems with truncated V-fractional-order derivatives. Initially, based on the fundamental properties of V-fractional calculus, the Bellman-Gronwall inequality for V-fractional α-differentiable functions is derived. Subsequently, several sufficient conditions for the stability of the considered systems are established via the Lyapunov direct method. For practical applications, multiple synchronization criteria for drive-response systems are further deduced by leveraging the aforementioned stability results. Finally, numerical examples are presented to verify the effectiveness and feasibility of the main theoretical findings.

Source: Entropy

DOI: 10.3390/e28040399

Author: Wengui Yang

Institutions: Henan University of Science and Technology, Sanmenxia Polytechnic

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7147263350

FWCI:

Cites: 41

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