Approximate solution of two-dimensional Hammerstein-Volterra fuzzy integral equations with partial integrals

摘要

The main purpose of this article is to present an approximation method for solving two-dimensional Hammerstein-Volterra fuzzy integral equations with partial integrals (2D-HVFIEPI). The proposed approach is based on homotopy analysis method (HAM). We transform this equation to Hammerstein-Volterra fuzzy integral equations with partial integrals to crisp case. The convergence analysis for the proposed methods is proved and error estimate between the exact and the approximate solution is find. We give numerical application to show efficiency and accuracy of the method.