On the solution of fuzzy differential equations by Fuzzy Sumudu Transform

Abstract

In this paper, Sumudu transform is advanced and designed for the solution of linear differential models with uncertainty. For this purpose, Sumudu transform is coupled with fuzzy theory and all its fundamental properties are formalized in fuzzy sense. At last, to demonstrate the accuracy of this approach, fuzzy Sumudu transform is employed to some examples of fuzzy linear differential equations considered under generalized H-differentiability and analytical solutions are obtained efficiently.

Keywords

• fuzzy-valued function
• h-differentiability
• fuzzy sumudu transform