Profile URL: https://hdl.handle.net/20.500.12573/2723
Job Title:Öğr. Gör.
Email Address:osman.topan@agu.edu.tr
Main Affiliation:02.01. Mühendislik Bilimleri
Status: Current Staff
ORCID:
0000-0003-0977-4777
0000-0003-0977-4777YÖK Akademik: 81712269C8BBDC4A
Web of Science ID:
MXF-2042-2025
MXF-2042-2025Name Variants:
Topan, Osman
Scholarly Output Search Results
Now showing 1 - 2 of 2
Article Citation - WoS: 1Citation - Scopus: 1Dynamics of Fuzzy Difference Equations System With Higher-Order(Springer Heidelberg, 2025) Topan, Osman; Yazlik, Yasin; Atpinar, SevdaThere are few studies in the literature that focus on two-dimensional higher-order fuzzy difference equations, leaving a considerable gap in our understanding of their behavior and dynamics. This highlights the necessity to investigate this field in order to answer fundamental concerns and broaden its possible uses.This study looks into the existence, uniqueness, boundedness, persistence, and convergence of positive solutions to a two-dimensional system of higher-order fuzzy difference equations. These qualities are crucial to understanding the system's behavior and stability.Theoretical analysis is used to rigorously establish the aforementioned system features. To validate the efficiency and application of the theoretical results, numerical simulations are provided, exhibiting the behavior and supporting the study's findings.Article Dynamical Behavior of Solutions to Higher-Order System of Fuzzy Difference Equations(2025) Yazlik, Yasin; Topan, Osman; Atpınar, SevdaIn this paper, we concentrate on the global behavior of the fuzzy difference equations system with higher order αn+1 = τ1 + αn ∑m i=1 βn−i , βn+1 = τ2 + βn ∑m i=1 αn−i , n ∈ N0, where αn, βn are positive fuzzy number sequences, parameters τ1, τ2 and the initial values α−i, β−i, i ∈ {0, 1, . . . , m}, are positive fuzzy numbers. Firstly, we show the existence and unique- ness of the positive fuzzy solution to the mentioned system. Furthermore, we are searching for the boundedness, persistence and convergence of the positive solution to the given system. Finally, we give some numerical examples to show the efficiency of our results.