Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications
Engineering and applied mathematics disciplines that involve differential equations include classical mechanics, thermodynamics, electrodynamics, and general relativity. Modelling a wide range of real-world situations sometimes comprises ambiguous, imprecise, or insufficient situational information,...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2023/3000653 |
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| _version_ | 1832547911331741696 |
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| author | Mudassir Shams Nasreen Kausar Naveed Yaqoob Nayyab Arif Gezahagne Mulat Addis |
| author_facet | Mudassir Shams Nasreen Kausar Naveed Yaqoob Nayyab Arif Gezahagne Mulat Addis |
| author_sort | Mudassir Shams |
| collection | DOAJ |
| description | Engineering and applied mathematics disciplines that involve differential equations include classical mechanics, thermodynamics, electrodynamics, and general relativity. Modelling a wide range of real-world situations sometimes comprises ambiguous, imprecise, or insufficient situational information, as well as multiindex, uncertainty, or restriction dynamics. As a result, intuitionistic fuzzy set models are significantly more useful and versatile in dealing with this type of data than fuzzy set models, triangular, or trapezoidal fuzzy set models. In this research, we looked at differential equations in a generalized intuitionistic fuzzy environment. We used the modified Adomian decomposition technique to solve generalized intuitionistic fuzzy initial value problems. The generalized modified Adomian decomposition technique is used to solve various higher-order generalized trapezoidal intuitionistic fuzzy initial value problems, circuit analysis problems, mass-spring systems, steam supply control sliding value problems, and some other problems in physical science. The outcomes of numerical test applications were compared to exact technique solutions, and it was shown that our generalized modified Adomian decomposition method is efficient, robotic, and reliable, as well as simple to implement. |
| format | Article |
| id | doaj-art-46944be408ce450ab5f94171ab8ccd6e |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-46944be408ce450ab5f94171ab8ccd6e2025-02-03T06:42:47ZengWileyComplexity1099-05262023-01-01202310.1155/2023/3000653Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with ApplicationsMudassir Shams0Nasreen Kausar1Naveed Yaqoob2Nayyab Arif3Gezahagne Mulat Addis4Department of Mathematics and StatisticsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of MathematicsEngineering and applied mathematics disciplines that involve differential equations include classical mechanics, thermodynamics, electrodynamics, and general relativity. Modelling a wide range of real-world situations sometimes comprises ambiguous, imprecise, or insufficient situational information, as well as multiindex, uncertainty, or restriction dynamics. As a result, intuitionistic fuzzy set models are significantly more useful and versatile in dealing with this type of data than fuzzy set models, triangular, or trapezoidal fuzzy set models. In this research, we looked at differential equations in a generalized intuitionistic fuzzy environment. We used the modified Adomian decomposition technique to solve generalized intuitionistic fuzzy initial value problems. The generalized modified Adomian decomposition technique is used to solve various higher-order generalized trapezoidal intuitionistic fuzzy initial value problems, circuit analysis problems, mass-spring systems, steam supply control sliding value problems, and some other problems in physical science. The outcomes of numerical test applications were compared to exact technique solutions, and it was shown that our generalized modified Adomian decomposition method is efficient, robotic, and reliable, as well as simple to implement.http://dx.doi.org/10.1155/2023/3000653 |
| spellingShingle | Mudassir Shams Nasreen Kausar Naveed Yaqoob Nayyab Arif Gezahagne Mulat Addis Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications Complexity |
| title | Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications |
| title_full | Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications |
| title_fullStr | Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications |
| title_full_unstemmed | Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications |
| title_short | Techniques for Finding Analytical Solution of Generalized Fuzzy Differential Equations with Applications |
| title_sort | techniques for finding analytical solution of generalized fuzzy differential equations with applications |
| url | http://dx.doi.org/10.1155/2023/3000653 |
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