Large time behavior of solution to second-order fractal difference equation with positive fuzzy parameters

Author:

Zhang Qianhong1,Pan Bairong1,Ouyang Miao2,Lin Fubiao1

Affiliation:

1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, P. R. China

2. School of Applied Mathematics, Xiamen University of Technology, Xiamen, Fujian, China

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 x i  (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.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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