Sumudu Transform to Solve Fuzzy Impulsive Function

Abstract

This paper proposes a method for solving the fuzzy impulsive equation by using the Sumudu transform, an integral transform that can successfully handle distributions and special functions. This approach is shown by giving an example of a differential equation involving the fuzzy Dirac delta function, which has several applications in the real world, and solving this differential equation by applying the Sumudu transform. After that, the obtained solution from using the Sumudu transform is compared with the solution from using the Laplace transform in the same example.