Work

Asymptotic Feature of Discrete Second-order Fuzzy Difference Equation With Quadratic Term

Year: 2025

Type: article

Abstract: 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 $ 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.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20230342

Authors: Qianhong Zhang, Fei Jin, Zhongni Zhang, Bairong Pan

Institutions: Guizhou University of Finance and Economics, Guizhou Key Laboratory of Big Data Statistics Analysis

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G1477469074, G4995413992, G8884287227