Existence of solutions of nonlinear fuzzy Volterra-Fredholm integral equations
type: Item
instance of: scholarly article
title: Existence of solutions of nonlinear fuzzy Volterra-Fredholm integral equations
zbMATH Open document ID: 1005.45004
author: R. Smith
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2003-02-05T00:00:00Z
review text: The authors consider nonlinear scalar fuzzy Volterra-Fredholm integral equations of the form \[ x(t) =f (t, x(t)) + F\left (t, x(t), \int_0^t g (t, s, x(s)) ds, \int_0^T g (t, s, x(s)) ds\right) \] with \(0\leq t\leq T\). Here \(f, g\) and \(F\) are scalar-valued functions, satisfying some conditions. The problem of existence and uniqueness of solutions to this equation is studied by virtue of the properties of fuzzy set-valued mappings.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1785816
zbMATH Keywords: nonlinear scalar fuzzy Volterra-Fredholm integral equations
zbMATH Keywords: fuzzy solutions
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: fuzzy set-valued mappings
reviewed by: Michael I. Gil'
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1785816