Solving differential equations with z-numbers by utilizing fuzzy sumudu transform

Abstract

The uncertain nonlinear systems can be displayed in the form of fuzzy differential equations (FDEs). The solutions of FDEs can be utilized in analyzing various issues related to engineering. Because of the difficulties in obtaining the solutions related to these equations, in this paper, a novel method based on fuzzy Sumudu transform (FST) is suggested. Here, the uncertainties are in the sense of Z-numbers. Important theorems are laid down to illustrate the properties of FST. The theoretical analysis and simulation results show that this new technique is effective to estimate the solutions of FDEs.