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 mappings by means of the concept of H-differentiability introduced by Puri and Ralescu [9]. Seikkala [11] defined the fuzzy derivative which is a generalization of the Hukuhara derivative [9] and the fuzzy integral which is the s...

Using a parametric Riemann integral representation, a numerical algorithm for solving fuzzy Fredholm and Voltera integral equations of the second kind with arbitrary kernel is proposed and illustrated with examples. © 1999 Elsevier Science Inc. All rights reserved.

in this work, we present a computational method for solving second kindnonlinear fredholm volterra integral equations which is based on the use ofhaar wavelets. these functions together with the collocation method are thenutilized to reduce the fredholm volterra integral equations to the solution ofalgebraic equations. finally, we also give some numerical examples that showsvalidity and applica...

A direct method for solving nonlinear two-dimensional Fredholm integral equations (FIE) of the second kind is presented. Using two-dimensional rationalized Haar (RH) functions, the numerical solution of these equations is reduced to solving a nonlinear system of algebraic equations. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

In this paper, a method for finding an approximate solution of a class of two-dimensional nonlinear Volterra integral equations of the first-kind is proposed. This problem is transformedto a nonlinear two-dimensional Volterra integral equation of the second-kind. The properties ofthe bivariate shifted Legendre functions are presented. The operational matrices of integrationtogether with the produ...

Monte Carlo Algorithms for Solving Fredholm Integral Equations and Fredholm Differential Integral Equations Behrouz Fathi Vajargah and Mojtaba Moradi Department of Mathematics Guilan University, Rasht, Iran [email protected], [email protected] Abstract In this paper we establish a new algorithm for solving non linear differential integral equations based on Monte Carlo methods. For obta...