Solution Of Fuzzy Integral Equations Research Articles

Application of radial basis functions in solving fuzzy integral equations

In the present paper, a numerical method based on radial basis functions (RBFs) is proposed to approximate the solution of fuzzy integral equations. By applying RBF in fuzzy integral equation, a linear system \(\Psi C=G \) is obtained. Then target function would be approximated by defining coefficient vector C. Error estimation of the method has been shown which is based on exponential convergence rates of RBFs. Finally, validity of the method is illustrated by some examples.

Bounded solutions for fuzzy integral equations of fractional order

In this paper, we consider sufficient conditions for the boundedness of every solution of fractional order fuzzy integral equations. Some examples are given to illustrate our results.

The Solution of Fuzzy Integral Equation by Using Sinc Collocation Method

The Solution of Fuzzy Integral Equation by Using Sinc Collocation Method

The Solve of Fuzzy Integral Equation by using Quadrature Formula

In this paper, we consider a new approach for solving fuzzy integral equation. In this work, we find an approximate solution of fuzzy integral equation by using fuzzy Gauss quadrature formula. We first express the necessary materials and definitions, and then we introduce the concept of fuzzy Gauss quadrature formula. In the last section, we present an important application of fuzzy Gauss quadrature rule to solve a boundary value problem. In this problem, the boundary conditions appear as the form of fuzzy integral equations. However, the integrals in the boundary conditions are approximated by fuzzy Gauss quadrature method. Numerical examples given in the last part confirm the accuracy and validity of our new technique. In this example, we obtain the Hausdorff distance between exact solution and approximate solution.

A series solution of fuzzy integral equations

In the present paper using homotopy analysis method (HAM), we approximate a special case of fuzzy integral equations. The fuzzy integral and integro-differential equations have a wide range of applications in science and engineering. In this paper HAM can be to find the exact solution or an approximate solution of the problem. Within this paper the HAM is used to obtain A series solution of intgro-differential equations. Finally, we illustrate our approach by some numerical examples.

Bounded solutions for fuzzy integral equations

We study conditions under which the solutions of a fuzzy integral equation are bounded.

Existence of solutions of fuzzy integral equations in Banach spaces

We prove existence theorems for solutions of fuzzy integral equations.