Existence of solutions of nonlinear fuzzy Volterra-Fredholm integral equations
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.
nonlinear scalar fuzzy Volterra-Fredholm integral equations
scientific article; zbMATH DE number 1785816