On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation
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 diff...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-02-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/14/2/118 |
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| author | Asifa Tassaddiq Muhammad Tanveer Muhammad Usman Dalal Khalid Almutairi Rabab Alharabi |
| author_facet | Asifa Tassaddiq Muhammad Tanveer Muhammad Usman Dalal Khalid Almutairi Rabab Alharabi |
| author_sort | Asifa Tassaddiq |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e093ecfdcafd49ae84d065427979936f |
| institution | DOAJ |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-e093ecfdcafd49ae84d065427979936f2025-08-20T02:44:34ZengMDPI AGAxioms2075-16802025-02-0114211810.3390/axioms14020118On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference EquationAsifa Tassaddiq0Muhammad Tanveer1Muhammad Usman2Dalal Khalid Almutairi3Rabab Alharabi4Department of Computer Science, College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi ArabiaDepartment of Mathematics and Statistics, Sub-Campus Depalpur, University of Agriculture Faisalabad, Faisalabad 38000, PakistanDepartment of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, Lahore 54000, PakistanDepartment of Mathematics, College of Science, Al Zulfi Majmaah University, Al Majmaah 11952, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi ArabiaFuzzy 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.https://www.mdpi.com/2075-1680/14/2/118fuzzy discrete equationsexponential Riccati modelsolution boundednesslong-term behaviorg-division |
| spellingShingle | Asifa Tassaddiq Muhammad Tanveer Muhammad Usman Dalal Khalid Almutairi Rabab Alharabi On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation Axioms fuzzy discrete equations exponential Riccati model solution boundedness long-term behavior g-division |
| title | On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation |
| title_full | On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation |
| title_fullStr | On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation |
| title_full_unstemmed | On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation |
| title_short | On the Global Dynamics of a Fourth-Order Riccati-Type Exponential Fuzzy Difference Equation |
| title_sort | on the global dynamics of a fourth order riccati type exponential fuzzy difference equation |
| topic | fuzzy discrete equations exponential Riccati model solution boundedness long-term behavior g-division |
| url | https://www.mdpi.com/2075-1680/14/2/118 |
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