Applications of the double fuzzy Sumudu transform for solving Volterra fuzzy integral equations

Abstract

In this paper, we use double fuzzy Sumudu transform method (DSTM) to solve two dimensional fuzzy convolution Volterra integral equations (2D-FCVIE). By using double fuzzy Sumudu transform method the problem reducing to algebraic problem. The convolution, its properties and convolution theorem with a proof are discussed in some detail. We give some preliminary results of the double fuzzy Sumudu transform method and describe the method of this paper. Finally, illustrative example with fuzzy and crisp convolution kernels is given to show the ability of the proposed method.