A comprehensive literature review of fuzzy differential equations with applications
Physical dynamical systems can be described through mathematical models using the theory of differential equations. Many different types of uncertain healing occur in the real-world. Fuzzy logic is an effective mathematical tool for defining the sense of non-random uncertainty. Since fuzzy arithmeti...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2025-03-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_205248_db5b56b2007cc7363293fbd103dc5967.pdf |
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| author | Kamal Hossain Gazi Aditi Biswas Payal Singh Mostafijur Rahaman Suman Maity Animesh Mahata Sankar Prasad Mondal |
| author_facet | Kamal Hossain Gazi Aditi Biswas Payal Singh Mostafijur Rahaman Suman Maity Animesh Mahata Sankar Prasad Mondal |
| author_sort | Kamal Hossain Gazi |
| collection | DOAJ |
| description | Physical dynamical systems can be described through mathematical models using the theory of differential equations. Many different types of uncertain healing occur in the real-world. Fuzzy logic is an effective mathematical tool for defining the sense of non-random uncertainty. Since fuzzy arithmetic differs from its counterparts, it would be more reliable if we use the differential equation to construct models involving uncertain decision parameters. In this paper, we attempt a detailed review of the existing literature related to the theory and application of fuzzy differential equations. The scientific review of this paper includes surveys of the Literature involving different definitions of fuzzy derivation. Distinguished solution approaches and applications of fuzzy differential equations in the fields of science, technology, and management are discussed in this paper. We also provide hints regarding future research challenges and scopes with the theory of fuzzy differential equations. This paper may be impactful documentation of the history of differential equations linking the past, present and future of the concerned research topic. |
| format | Article |
| id | doaj-art-a89267e1526d48dcaa1ea554feef05df |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-a89267e1526d48dcaa1ea554feef05df2025-01-30T15:07:29ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532025-03-016113416110.22105/jfea.2024.449970.1426205248A comprehensive literature review of fuzzy differential equations with applicationsKamal Hossain Gazi0Aditi Biswas1Payal Singh2Mostafijur Rahaman3Suman Maity4Animesh Mahata5Sankar Prasad Mondal6Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, West Bengal, India.Department of Basic Science and Humanities, Greater Kolkata College of Engineering & Management, West Bengal, India.Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Parul University, Vadodara 391760, Gujarat, India.Department of Mathematics, School of Liberal Arts & Sciences, Mohan Babu University, Tirupati, Andhra Pradesh 517102, India.Department of Mathematics, Raja N.L. Khan Women’s College (Autonomous), Phulpahari 721102, West Bengal, India.Department ofMathematics, Sri Ramkrishna Sarada Vidya Mahapitha, Kamarpukur, Hooghly 712612, West Bengal, India.Department ofMathematics, Sri Ramkrishna Sarada Vidya Mahapitha, Kamarpukur, Hooghly 712612, West Bengal, India.Physical dynamical systems can be described through mathematical models using the theory of differential equations. Many different types of uncertain healing occur in the real-world. Fuzzy logic is an effective mathematical tool for defining the sense of non-random uncertainty. Since fuzzy arithmetic differs from its counterparts, it would be more reliable if we use the differential equation to construct models involving uncertain decision parameters. In this paper, we attempt a detailed review of the existing literature related to the theory and application of fuzzy differential equations. The scientific review of this paper includes surveys of the Literature involving different definitions of fuzzy derivation. Distinguished solution approaches and applications of fuzzy differential equations in the fields of science, technology, and management are discussed in this paper. We also provide hints regarding future research challenges and scopes with the theory of fuzzy differential equations. This paper may be impactful documentation of the history of differential equations linking the past, present and future of the concerned research topic.https://www.journal-fea.com/article_205248_db5b56b2007cc7363293fbd103dc5967.pdffuzzy differential equationsfuzzy derivativesfuzzy setsfuzzy numbers |
| spellingShingle | Kamal Hossain Gazi Aditi Biswas Payal Singh Mostafijur Rahaman Suman Maity Animesh Mahata Sankar Prasad Mondal A comprehensive literature review of fuzzy differential equations with applications Journal of Fuzzy Extension and Applications fuzzy differential equations fuzzy derivatives fuzzy sets fuzzy numbers |
| title | A comprehensive literature review of fuzzy differential equations with applications |
| title_full | A comprehensive literature review of fuzzy differential equations with applications |
| title_fullStr | A comprehensive literature review of fuzzy differential equations with applications |
| title_full_unstemmed | A comprehensive literature review of fuzzy differential equations with applications |
| title_short | A comprehensive literature review of fuzzy differential equations with applications |
| title_sort | comprehensive literature review of fuzzy differential equations with applications |
| topic | fuzzy differential equations fuzzy derivatives fuzzy sets fuzzy numbers |
| url | https://www.journal-fea.com/article_205248_db5b56b2007cc7363293fbd103dc5967.pdf |
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