Error estimation in the approximation of the solution of nonlinear fuzzy Fredholm integral equations

AM Bica - Information Sciences, 2008 - Elsevier
Using a fixed point technique, the sequence of successive approximations and a recent
quadrature formula for fuzzy-number-valued functions, it is constructed a numerical method …

Approximating the solution of nonlinear Hammerstein fuzzy integral equations

AM Bica, C Popescu - Fuzzy Sets and Systems, 2014 - Elsevier
In this paper we prove the convergence of the method of successive approximations used to
approximate the solution of nonlinear Hammerstein fuzzy integral equations and define the …

Numerical solution of nonlinear fuzzy Fredholm integral equations using iterative method

R Ezzati, S Ziari - Applied Mathematics and Computation, 2013 - Elsevier
In this paper, we propose an iterative procedure based on quadrature formula to solve
nonlinear fuzzy Fredholm integral equations of the second kind. Moreover, the error …

Numerical solutions of the nonlinear fuzzy Hammerstein–Volterra delay integral equations

AM Bica, C Popescu - Information Sciences, 2013 - Elsevier
In this paper, an iterative numerical method that solves nonlinear fuzzy Hammerstein–
Volterra integral equations with constant delay is developed. By using the error estimates, a …

[PDF][PDF] Existence of solutions of general nonlinear fuzzy Volterra‐Fredholm integral equations

K Balachandran, K Kanagarajan - International Journal of …, 2005 - researchgate.net
Fuzzy differential and integral equations have been studied by many authors [1, 2, 5, 6, 7,
14]. Kaleva [5] discussed the properties of differentiable fuzzy set-valued map**s by …

[HTML][HTML] Numerical solution of two-dimensional nonlinear Hammerstein fuzzy integral equations based on optimal fuzzy quadrature formula

SM Sadatrasoul, R Ezzati - Journal of Computational and Applied …, 2016 - Elsevier
In this paper, our aim is to provide an efficient iterative method of successive approximations
to approximate solution of linear and nonlinear two-dimensional Hammerstein fuzzy integral …

Ill-posedness for fuzzy Fredholm integral equations of the first kind and regularization methods

H Yang, Z Gong - Fuzzy Sets and Systems, 2019 - Elsevier
In this study, the concept of ill-posedness for fuzzy Fredholm integral equations of the first
kind was first proposed. An efficient regularization method based on classic Tikhonov …

Towards the accuracy of iterative numerical methods for fuzzy Hammerstein–Fredholm integral equations

S Ziari - Fuzzy Sets and Systems, 2019 - Elsevier
An iterative numerical method based on the three-point quadrature formula is applied to
solve nonlinear fuzzy Hammerstein–Fredholm integral equations of the second kind and …

New error estimate in the iterative numerical method for nonlinear fuzzy Hammerstein–Fredholm integral equations

S Ziari, AM Bica - Fuzzy Sets and Systems, 2016 - Elsevier
In this paper, we obtain the error estimation of the iterative method based on quadrature
formula to solve nonlinear fuzzy Fredholm integral equations of the second kind given in …

Iterative method for numerical solution of two-dimensional nonlinear fuzzy integral equations

SM Sadatrasoul, R Ezzati - Fuzzy Sets and Systems, 2015 - Elsevier
In this paper, we prove the convergence of the method of successive approximations used to
approximate the solution of two-dimensional nonlinear fuzzy Fredholm integral equations of …