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This chapter presents the exponential Euler difference scheme for Caputo-Fabrizio operator equations with multiple lags. The research demonstrates that the acquired difference falls within the scope of implicit Euler differences. Consequently, the fractional PECE algorithm is proposed to solve it. Finally, the global exponential synchronization of the difference model is discussed from the viewpoint of control theory.

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The Theory of CF-EEDs

  • 章节

  • 发表日期：

    2025年

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  • Tianwei Zhang,
  • Yongkun Li,
  • Jianwen Zhou

摘要

This chapter presents the exponential Euler difference scheme for Caputo-Fabrizio operator equations with multiple lags. The research demonstrates that the acquired difference falls within the scope of implicit Euler differences. Consequently, the fractional PECE algorithm is proposed to solve it. Finally, the global exponential synchronization of the difference model is discussed from the viewpoint of control theory.