Finite-time synchronization analysis for the generalized Caputo fractional spatio-temporal neural networks

Xianghu Liu, Yanfang Li and Guangjun Xu

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 230, issue C, 94-110

Abstract: This paper is concerned with finite-time synchronization analysis for the generalized Caputo fractional spatio-temporal neural networks with time delay(GCFSTNN). The generalized Caputo type fractional derivative are defined, two novel generalized Caputo fractional differential inequalities are proved. Meanwhile, some control strategies are designed to get the finite-time synchronization results. Finally, numerical examples and simulation results are showed to demonstrate validation of finite-time synchronization conditions.

Keywords: Finite-time synchronization; Generalized Caputo fractional inequality; Lyapunov function; Neural networks (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:230:y:2025:i:c:p:94-110

DOI: 10.1016/j.matcom.2024.11.006

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