Qualitative Dynamics of Discrete Nonlinear Higher-Order Fuzzy Difference Equations

• Yacine Halim ^[2] ; Ibtissem Redjam ^[3] ; Ibraheem M. Alsulami ^[1]
  1. [1] Umm al-Qura University

     Umm al-Qura University

     Arabia Saudí

     
  2. [2] Mohamed Seddik ben Yahia University & Abdelhafid Boussouf University Center
  3. [3] Abdelhafid Boussouf University Center

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 3, 2025
• Idioma: inglés
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  • In this study, we investigate the qualitative dynamics of discrete-time nonlinear higherorder 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.