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This study focuses on developing novel criteria for assessing the stability of nonlinear incommensurate fractional-order difference systems (FoDS), modeled using the Caputo difference operator. The proposed criteria are supported by rigorous proofs utilizing the Lyapunov function method. The theoretical findings are verified through numerical simulations, demonstrating stability in the considered systems.

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Stability Investigation of Nonlinear Fractional Difference Equations with Incommensurate Orders

  • 会议论文

  • 发表日期：

    2025年

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  • Noureddine Djenina,
  • Adel Ouannas,
  • Shaher Momani,
  • Giuseppe Grassi

摘要

This study focuses on developing novel criteria for assessing the stability of nonlinear incommensurate fractional-order difference systems (FoDS), modeled using the Caputo difference operator. The proposed criteria are supported by rigorous proofs utilizing the Lyapunov function method. The theoretical findings are verified through numerical simulations, demonstrating stability in the considered systems.