Analysis of convergence of solution of general fuzzy integral equation with nonlinear fuzzy kernels

Subject Areas : Applied Mathematics

Laleh Hooshangian ¹

1 - Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran.

Received: 2016-12-17 Accepted : 2016-03-27 Published : 2017-12-01

Keywords: Existence theorem, General Nonlinear fuzzy integral equation, Uniqueness theorem, Upper bound, Nonlinear fuzzy kernels,

Abstract :

Fuzzy integral equations have a major role in the mathematics and applications.In this paper, general fuzzy integral equations with nonlinear fuzzykernels are introduced. The existence and uniqueness of their solutions areapproved and an upper bound for them are determined. Finally an algorithmis drawn to show theorems better.