In:
AIMS Mathematics, American Institute of Mathematical Sciences (AIMS), Vol. 9, No. 2 ( 2023), p. 2695-2721
Abstract:
〈 abstract 〉 〈 p 〉 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. 〈 /p 〉 〈 /abstract 〉
Type of Medium:
Online Resource
ISSN:
2473-6988
DOI:
10.3934/math.2024134
Language:
Unknown
Publisher:
American Institute of Mathematical Sciences (AIMS)
Publication Date:
2023
detail.hit.zdb_id:
2917342-5
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