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<p>In this study, we investigate the qualitative dynamics of discrete-time nonlinear higher-order fuzzy difference equations. We establish the existence, positivity, and uniqueness of solutions, ensuring a comprehensive understanding of their behavior. Additionally, we analyze the boundedness and persistence of positive fuzzy solutions, deriving sufficient conditions for stability and convergence. Our approach incorporates theoretical analysis supported by numerical simulations, validating the derived conditions and illustrating their practical significance. These findings contribute to the broader field of fuzzy mathematics by providing a structured framework for studying the long-term behavior of fuzzy difference equations.</p>

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Qualitative Dynamics of Discrete Nonlinear Higher-Order Fuzzy Difference Equations

  • 期刊论文

  • 发表日期：

    2025年4月10日

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  • Yacine Halim,
  • Ibtissem Redjam,
  • Ibraheem M. Alsulami

摘要

In this study, we investigate the qualitative dynamics of discrete-time nonlinear higher-order fuzzy difference equations. We establish the existence, positivity, and uniqueness of solutions, ensuring a comprehensive understanding of their behavior. Additionally, we analyze the boundedness and persistence of positive fuzzy solutions, deriving sufficient conditions for stability and convergence. Our approach incorporates theoretical analysis supported by numerical simulations, validating the derived conditions and illustrating their practical significance. These findings contribute to the broader field of fuzzy mathematics by providing a structured framework for studying the long-term behavior of fuzzy difference equations.