Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces
Linear correlated fuzzy differential equations (LCFDEs) are a valuable approach to handling physical problems, optimizations problems, linear programming problems etc. with uncertainty. But, LCFDEs employed on spaces with symmetric basic fuzzy numbers often exhibit multiple solutions due to the exte...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024134?viewType=HTML |
| _version_ | 1797353667202908160 |
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| author | Noor Jamal Muhammad Sarwar Nabil Mlaiki Ahmad Aloqaily |
| author_facet | Noor Jamal Muhammad Sarwar Nabil Mlaiki Ahmad Aloqaily |
| author_sort | Noor Jamal |
| collection | DOAJ |
| description | Linear correlated fuzzy differential equations (LCFDEs) are a valuable approach to handling physical problems, optimizations problems, linear programming problems etc. with uncertainty. But, LCFDEs employed on spaces with symmetric basic fuzzy numbers often exhibit multiple solutions due to the extension process. This abundance of solutions poses challenges in the existing literature's solution methods for LCFDEs. These limitations have led to reduced applicability of LCFDEs in dealing with such types of problems. Therefore, in the current study, we focus on establishing existence and uniqueness results for LCFDEs. Moreover, we will discuss solutions in the canonical form of LCFDEs in the space of symmetric basic fuzzy number which is currently absent in the literature. To enhance the practicality of our work, we provide examples and plots to illustrate our findings. |
| first_indexed | 2024-03-08T13:33:20Z |
| format | Article |
| id | doaj.art-6059d75fb7dc4b18997c49de4a845916 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T13:33:20Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6059d75fb7dc4b18997c49de4a8459162024-01-17T01:25:20ZengAIMS PressAIMS Mathematics2473-69882024-01-01922695272110.3934/math.2024134Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spacesNoor Jamal0Muhammad Sarwar 1Nabil Mlaiki2Ahmad Aloqaily31. Department of Mathematics, University of Malakand, Dir Lower, Pakistan1. Department of Mathematics, University of Malakand, Dir Lower, Pakistan 2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi ArabiaLinear correlated fuzzy differential equations (LCFDEs) are a valuable approach to handling physical problems, optimizations problems, linear programming problems etc. with uncertainty. But, LCFDEs employed on spaces with symmetric basic fuzzy numbers often exhibit multiple solutions due to the extension process. This abundance of solutions poses challenges in the existing literature's solution methods for LCFDEs. These limitations have led to reduced applicability of LCFDEs in dealing with such types of problems. Therefore, in the current study, we focus on establishing existence and uniqueness results for LCFDEs. Moreover, we will discuss solutions in the canonical form of LCFDEs in the space of symmetric basic fuzzy number which is currently absent in the literature. To enhance the practicality of our work, we provide examples and plots to illustrate our findings.https://www.aimspress.com/article/doi/10.3934/math.2024134?viewType=HTMLnon-increasing diameternon-decreasing diameterextend systemuncertaintynodal pointsymmetric and non-symmetric numberslinear correlation |
| spellingShingle | Noor Jamal Muhammad Sarwar Nabil Mlaiki Ahmad Aloqaily Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces AIMS Mathematics non-increasing diameter non-decreasing diameter extend system uncertainty nodal point symmetric and non-symmetric numbers linear correlation |
| title | Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces |
| title_full | Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces |
| title_fullStr | Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces |
| title_full_unstemmed | Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces |
| title_short | Solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces |
| title_sort | solution of linear correlated fuzzy differential equations in the linear correlated fuzzy spaces |
| topic | non-increasing diameter non-decreasing diameter extend system uncertainty nodal point symmetric and non-symmetric numbers linear correlation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024134?viewType=HTML |
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