ASYMPTOTIC FEATURE OF DISCRETE SECOND-ORDER FUZZY DIFFERENCE EQUATION WITH QUADRATIC TERM

This article explores the asymptotic feature of a discrete second-order fractal FDE (fuzzy difference equation) with quadratic term. Specifically, applying a generalization of division (g-division) of two fuzzy numbers, we obtain dynamical features including the boundedness, persistence, and global behavior of a positive fuzzy solution of the following model <p class="disp_formula">$ x_{n+1}=A+\frac{Bx_{n}^2}{x_{n-1}^2}, \ \ n\in N^+, $ where the parameters $A, B\in \Re_f^+$(positive fuzzy number) and the initial values $x_0, x_{-1}\in \Re_f^+$. Finally, two numerical examples are provided to reveal the validity of our findings.