Abstract

The article is concerned with large time behavior of solution to second-order fractal difference equation with positive fuzzy parameters x n + 1 = A + x n B + x n - 1 , n = 1 , 2 , ⋯ , here the initial values xi (i = -1, 0) and the parameters A, B are positive fuzzy numbers. Utilizing a generalization of division (g-division) of fuzzy numbers, one presents large time behaviors of positive fuzzy solution including persistence, boundedness, global convergence. Moreover, two numerical examples verify the effectiveness of the qualitative analysis.

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