Dynamic Behavior of a Fourth-Order Nonlinear Fuzzy Difference Equation

Year 2025, Early View, 1 - 1

İbrahim Yalçınkaya , Bilal Er , Durhasan Turgut Tollu

https://doi.org/10.35378/gujs.1098124

Abstract

In this paper we investigate the existence, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation

w_{n+1}=((Aw_{n-1})/(B+Cw_{n-3}^{p})), n∈ℕ₀,

where (w_{n}) is a sequence of positive fuzzy numbers, the parameters A, B, C and the initial conditions w₋₃, w₋₂, w₋₁, w₀ are positive fuzzy numbers and p is a positive integer.

Keywords

Asymptotic behavior, α-cuts, Boundedness, Fuzzy difference equation, Fuzzy number, Stability

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