Abstract

In this paper, we study the fuzzy Fredholm integral equations of product type. As a special case, integral equations of product type arise, e.g., in the study of the spread of an infectious disease that does not induce permanent immunity. Because of the importance and practicality of such integrals, we prove the existence and uniqueness of the solution of these integral equations with the help of the Banach fixed point theorem. Finally, we obtain an error estimation between the exact solution and the solution of the iterative method. Examples show the applicability of our results.

Highlights

  • In this paper, we study the fuzzy Fredholm integral equations of product type

  • This work is licensed under a Creative Commons Attribution 4.0 International

  • Read Full License Version of Record: A version of this preprint was published at Soft Computing on August 16th, 2021

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Summary

Introduction

We study the fuzzy Fredholm integral equations of product type. As a special case, integral equations of product type arise, e.g., in the study of the spread of an infectious disease that does not induce permanent immunity. V Samadpor Khalifeh Mahaleh Karaj Islamic Azad University Faculty of Sciences reza ezzati ezati@kiau.ac.ir

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