On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation

被引：0

作者：

Tassaddiq, Asifa ^{[1
]}

Tanveer, Muhammad ^{[2
]}

Usman, Muhammad ^{[3
]}

Almutairi, Dalal Khalid ^{[4
]}

Alharabi, Rabab ^{[5
]}

机构：

[1] Majmaah Univ, Coll Comp & Informat Sci, Dept Comp Sci, Al Majmaah 11952, Saudi Arabia

[2] Univ Agr Faisalabad, Dept Math & Stat, Subcampus Depalpur, Faisalabad 38000, Pakistan

[3] Riphah Int Univ, Riphah Inst Comp & Appl Sci, Dept Math, Lahore 54000, Pakistan

[4] Al Zulfi Majmaah Univ, Coll Sci, Dept Math, Al Majmaah 11952, Saudi Arabia

[5] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia

来源：

AXIOMS | 2025年 / 14卷 / 02期

关键词：

fuzzy discrete equations; exponential Riccati model; solution boundedness; long-term behavior; g-division; BEHAVIOR; MODEL;

D O I：

10.3390/axioms14020118

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fuzzy systems play a crucial role in emerging fields such as artificial intelligence, machine learning, and computer science, drawing significant research interest in fuzzy difference equations. Inspired by this, we analyze the dynamic properties of a fourth-order exponential Riccati-type fuzzy difference equation. The study is further extended to a system of fourth-order fuzzy difference equations. We investigate the boundedness, as well as the local and global stability, of positive solutions. To support the theoretical findings, numerical examples are presented along with graphical and tabular representations.

引用

页数：25