Work

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

Year: 2025

Type: article

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.

Source: Iranian Journal of Mathematical Sciences and Informatics

DOI: 10.61186/ijmsi.20.1.79

Authors: N. A. Abdul Rahman, M. Z. Ahmad

Institutions: Universiti Sains Malaysia, Academic Center for Education, Culture and Research, Universiti Malaysia Perlis

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Universiti Sains Malaysia, Universiti Malaysia Perlis

OpenAlex ID: W4410549896