Applications of double fuzzy Sumudu Adomian decompositon method for two-dimensional fuzzy Volterra integral equations

In this paper, we combine double Sumudu transform with Adomian decomposition method to solve two dimensional fuzzy convolution Volterra integral equations. We give some definition for fuzzy number, fuzzy valued function which are prerequest for combine the double fuzzy Sumudu transform with Adomian decomposition transform method. We describe the method and finally, numerical examples are given to illustrate the efficiency and applicability of our method.

Automated summary

This paper combines the double Sumudu transform with the Adomian decomposition method to solve two-dimensional fuzzy convolution Volterra integral equations, providing definitions for fuzzy number and fuzzy valued functions as prerequisites. Numerical examples are used to demonstrate the efficiency and applicability of the method.