Fuzzy Sumudu Transform for System of Fuzzy Differential Equations with Fuzzy Constant Coeffcients

In this study, we employ fuzzy Sumudu transform to find the solution for system of linear fuzzy differential equations where the system possesses fuzzy constant coefficients instead of crisp.For this purpose, fuzzy Sumudu transform has been revisited and a brief comparison with fuzzy Laplace transform is provided alongside, particularly on the scale preserving property.For the sake of comparison, we introduce to the literature a time scaling theorem for fuzzy Laplace transform.Next, the system with fuzzy constant coefficients is interpreted under the strongly generalized differentiability.From here, new procedures for solving the systems are proposed.A numerical example is then carried out for solving a system adapted from fuzzy radioactive decay model.Conclusion is drawn in the last section and some potential research directions are given.

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Publication Details

Journal
Iranian Journal of Mathematical Sciences and Informatics
Published
2025-04-01
DOI
https://doi.org/10.61186/ijmsi.20.1.79
Primary Topic
Fuzzy Systems and Optimization
Type
article
Field-Weighted Citation Impact
0.00

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article

Fuzzy Sumudu Transform for System of Fuzzy Differential Equations with Fuzzy Constant Coeffcients

N. A. Abdul Rahman, Muhammad Zaini Ahmad
Iranian Journal of Mathematical Sciences and Informatics
Fuzzy Systems and Optimization
article

Fuzzy Sumudu Transform for System of Fuzzy Differential Equations with Fuzzy Constant Coeffcients

N. A. Abdul Rahman, Muhammad Zaini Ahmad
article en

Abstract

In this study, we employ fuzzy Sumudu transform to find the solution for system of linear fuzzy differential equations where the system possesses fuzzy constant coefficients instead of crisp.For this purpose, fuzzy Sumudu transform has been revisited and a brief comparison with fuzzy Laplace transform is provided alongside, particularly on the scale preserving property.For the sake of comparison, we introduce to the literature a time scaling theorem for fuzzy Laplace transform.Next, the system with fuzzy constant coefficients is interpreted under the strongly generalized differentiability.From here, new procedures for solving the systems are proposed.A numerical example is then carried out for solving a system adapted from fuzzy radioactive decay model.Conclusion is drawn in the last section and some potential research directions are given.

Iranian Journal of Mathematical Sciences and InformaticsVol. 20(1)
Universiti Malaysia Perlis (MY)
Universiti Sains Malaysia, Universiti Malaysia Perlis
Openalex Percentile: Top 89%
Fuzzy Systems and Optimization
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Fuzzy Sumudu Transform for System of Fuzzy Differential Equations with Fuzzy Constant Coeffcients — N. A. Abdul Rahman, Muhammad Zaini Ahmad · Iranian Journal of Mathematical Sciences and Informatics (2025) | TGRS Research Map | TGRS