Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations

Abstract

In this paper, we study the classical Sumudu transform in fuzzy environment, referred to as the fuzzy Sumudu transform (FST). We also propose some results on the properties of the FST, such as linearity, preserving, fuzzy derivative, shifting and convolution theorem. In order to show the capability of the FST, we provide a detailed procedure to solve fuzzy differential equations (FDEs). A numerical example is provided to illustrate the usage of the FST.

Keywords

• fuzzy number
• fuzzy Sumudu transform
• generalized differentiability
• fuzzy differential equation
• Sumudu transform
• integral transform