Dynamic Behavior of a Fourth-Order Nonlinear Fuzzy Difference Equation

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.

Authors

Institutions

Publication Details

Journal
GAZI UNIVERSITY JOURNAL OF SCIENCE
Published
2024-12-31
DOI
https://doi.org/10.35378/gujs.1098124
Primary Topic
Fuzzy Systems and Optimization
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Dynamic Behavior of a Fourth-Order Nonlinear Fuzzy Difference Equation

Durhasan Turgut Tollu, İbrahim Yalçınkaya, Bilal Er
GAZI UNIVERSITY JOURNAL OF SCIENCE
Fuzzy Systems and Optimization
article

Dynamic Behavior of a Fourth-Order Nonlinear Fuzzy Difference Equation

Durhasan Turgut Tollu, İbrahim Yalçınkaya, Bilal Er
article en

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.

GAZI UNIVERSITY JOURNAL OF SCIENCEVol. 38(1)
Mi̇lli̇ Eği̇ti̇m Bakanliği (TR), Necmettin Erbakan University (TR)
Openalex Percentile: Top 75%
Fuzzy Systems and Optimization
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.