Linear and Nonlinear Control for Complete Synchronization of Fractional-Order Discrete Reaction-Diffusion Systems

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DOI: https://doi.org/10.28924/2291-8639-24-2026-26
Published: Jan 29, 2026
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Iqbal H. Jebril, Linear and Nonlinear Control for Complete Synchronization of Fractional-Order Discrete Reaction-Diffusion Systems, Int. J. Anal. Appl., 24 (2026), 26.

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Iqbal H. Jebril

Abstract

This paper investigates complete synchronization (CS) of coupled fractional-order discrete reaction-diffusion systems (FO-RDs) under linear and nonlinear control strategies. We derive sufficient conditions for finite-time synchronization using Lyapunov functionals (LFs) and Caputo fractional difference operators. Theoretical results are validated through numerical simulations of the Degn-Harrison model, demonstrating that both control strategies achieve synchronization with zero error convergence. The linear controller shows faster convergence while the nonlinear controller exhibits superior robustness to initial condition variations.

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