On Some Linear and Non-linear Fuzzy Integral Equations by Homotopy Perturbation Method

Abstract

Many mathematical models are contributed to give rise to of linear and nonlinear integral equations. In this paper, we study the performance of recently developed technique homotopy perturbation method by implement on various types of linear and non-linear fuzzy Volterra integral equations of second kind, mixed fuzzy volterra fredholm integral equation and singular fuzzy integral equations. Obtained results show that technique is reliable, efficient and easy to use through recursive relations that involve integrals. Moreover, these particular examples show the reliability and the performance of proposed modifications.

Keywords: Homotopy perturbation method, linear fuzzy integral equations, non-linear fuzzy integral equations.