Topan, Osman

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Profile URL
https://hdl.handle.net/20.500.12573/2723
Name Variants
Topan, Osman
Job Title
Öğr. Gör.
Email Address
osman.topan@agu.edu.tr
Main Affiliation
02.01. Mühendislik Bilimleri
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Current Staff
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ORCID ID
0000-0003-0977-4777
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Turkish CoHE Profile ID
135968
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WoS Researcher ID
MXF-2042-2025

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Fundamental Journal of Mathematics and Applications (Online)1
Journal of Applied Mathematics and Computing1
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  • Thumbnail Image
    Article
    Dynamics of Fuzzy Difference Equations System With Higher-Order
    (Springer Heidelberg, 2025) Topan, Osman; Yazlik, Yasin; Atpinar, Sevda
    There 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.
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    Article
    Dynamical Behavior of Solutions to Higher-Order System of Fuzzy Difference Equations
    (2025) Yazlik, Yasin; Topan, Osman; Atpınar, Sevda
    In 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.