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

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Abdul Rahman N.A.; Ahmad M.Z.

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2025 | Volume:20 | Issue:1 Page(s): 79-100

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Title

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

Author(s)

Abdul Rahman N.A. | Ahmad M.Z. | Issue Writer Certificate

Keywords

Fuzzy Sumudu transform

Fuzzy differential equations

System of fuzzy differential equations

Fuzzy Laplace transform

Radioactive decay model

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 coeffcients 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 coeffcients 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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