On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation-Reference-Cited by-同舟云学术

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

Published:2025-02-04 Issue:2 Volume:14 Page:118
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Tassaddiq Asifa¹^ORCID,Tanveer Muhammad²^ORCID,Usman Muhammad³,Almutairi Dalal⁴^ORCID,Alharbi Rabab⁵^ORCID

Affiliation:

1. Department of Computer Science, College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi Arabia

2. Department of Mathematics and Statistics, Sub-Campus Depalpur, University of Agriculture Faisalabad, Faisalabad 38000, Pakistan

3. Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, Lahore 54000, Pakistan

4. Department of Mathematics, College of Science, Al Zulfi Majmaah University, Al Majmaah 11952, Saudi Arabia

5. Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

Abstract

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.

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/14/2/118/pdf

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