Existence and uniqueness of two-dimensional nonlinear Urisohn-Volterra fuzzy functional integral equations

In this paper we investigate two-dimensional nonlinear Urisohn-Volterra fuzzy functional integral equation (2D-NUVFFIE). We prove the existence of a continuous solution of 2D-NUVFFIE using the Schauder,s fixed point theorem. Then the uniqueness of the solution is proved using some conditions. To val...

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Bibliographic Details
Main Authors: Pavlova, Albena, Trenkova, Lozanka
Format: Conference Proceeding
Language:English
Subjects:
Fixed points (mathematics)
Integral equations
Uniqueness theorems
Online Access:Get full text
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Summary:In this paper we investigate two-dimensional nonlinear Urisohn-Volterra fuzzy functional integral equation (2D-NUVFFIE). We prove the existence of a continuous solution of 2D-NUVFFIE using the Schauder,s fixed point theorem. Then the uniqueness of the solution is proved using some conditions. To validate the obtained results we present an illustrative example.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5082110