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1 Journal of Applied Mathematics and Computational Mechanics

1 2024

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Synchronization for a class of proportional caputo fractional-order neural networks

Nagy Abdelhameed Mohamed, Makhlouf Abdellatif Ben, Alsenafi Abdulaziz, Alazemi Fares

Journal of Applied Mathematics and Computational Mechanics

2024

Vol. 23, nr 4

76--88

Synchronization of fractional order systems has gained great interest in various research activities in recent years. The aim of this study is to investigate the synchronization of a class of neural network systems with respect to the proportional Caputo fractional order derivative. Using the generalized Gronwall inequality, a sufficient condition that possesses the exponential convergence rate, presents and demonstrates that the error of the proposed system converges to zero. Two illustrative numerical examples are provided to show the applicability and validity of the obtained theoretical results.