A hybrid method for solving fuzzy Volterra integral equations of separable type kernels

The paper deals with the computation of solutions of fuzzy Volterra integral equations with degenerate kernel by applying a hybrid method. The proposed method is built on Laplace transform coupled with Adomian Decomposition Method; Laplace Adomian Decomposition Method abbreviated as (LADM). In the considered equation the unknown function has a solution in terms of infinite series expansion and hence LADM becomes more accurate to give the exact solution. Firstly, using the fuzzy number in term of parametric form, the fuzzy Volterra integral equation is converted to two crisp integral equations and then LADM is applied to get the exact fuzzy solutions of fuzzy linear Volterra integral equations. For the illustration, some examples of considered equations are solved to highlight the robustness, efficiency and the applicability of the developed scheme. The obtained results play an important role in developing the theory of fuzzy analytical dynamic equations. (C) 2020 The Author(s). Published by Elsevier B.V. on behalf of King Saud University.

Automated summary

This paper presents a hybrid method for solving fuzzy Volterra integral equations, using LADM to obtain exact solutions and converting fuzzy numbers to crisp integral equations. Numerical examples demonstrate the robustness, efficiency, and applicability of the proposed method.