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Existence and uniqueness of solution for fuzzy integral equations of product type.

Authors :
Samadpour Khalifeh Mahaleh, Vahid
Ezzati, R.
Source :
Soft Computing - A Fusion of Foundations, Methodologies & Applications. Nov2021, Vol. 25 Issue 21, p13287-13295. 9p.
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14327643
Volume :
25
Issue :
21
Database :
Academic Search Index
Journal :
Soft Computing - A Fusion of Foundations, Methodologies & Applications
Publication Type :
Academic Journal
Accession number :
152975837
Full Text :
https://doi.org/10.1007/s00500-021-06100-w