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

Abstract

In this paper, we employ fuzzy Sumudu transform for solving system of linear fuzzy differential equations with fuzzy constant coefficients. The system with fuzzy constant coefficients is interpreted under strongly generalized differentiability. For this purpose, new procedures for solving the system are proposed. A numerical example is carried out for solving system adapted from fuzzy radioactive decay model. Conclusion is drawn in the last section and some potential research directions are given.

Solving the Vibrating Spring Equation Using Fuzzy Elzaki Transform

“…Fuzzy transforms such as Laplace and Sumudu were then applied to solve ordinary linear fuzzy differential equation [5][6][7]. Indeed, fuzzy transform not just solve (ODEs) but also fractional nonlinear partial differential equations, fractional ordinary differential equations, and system of linear partial or ordinary differential equations [8][9][10][11]. Fuzzy transform was proposed as a pilot fuzzy approximation approach to applying in unusual application fields such as numerical solutions of (ODEs) [12].…”