Fuzzy Sets and Systems
Fuzzy Sets and Systems - Fuzzy Numbers
Embedding problem of fuzzy number space: Part I
Fuzzy Sets and Systems
Existence of solutions of fuzzy integral equations in Banach spaces
Fuzzy Sets and Systems
Numerical solutions of fuzzy differential and integral equations
Fuzzy Sets and Systems - Special issue on fuzzy modeling and dynamics
Computers & Mathematics with Applications
Numerical solutions of the nonlinear fuzzy Hammerstein-Volterra delay integral equations
Information Sciences: an International Journal
The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In this paper, we use the parametric form of a fuzzy number and convert a linear fuzzy Fredholm integral equation to two linear systems of integral equations of the second kind in the crisp case. For fuzzy Fredholm integral equations with kernels, the sign of which is difficult to determine, a new parametric form of the fuzzy Fredholm integral equation is introduced. We use the homotopy analysis method to find the approximate solution of the system, and hence, obtain an approximation for fuzzy solutions of the linear fuzzy Fredholm integral equation of the second kind. The proposed method is illustrated by solving some examples. Using the HAM, it is possible to find the exact solution or the approximate solution of the problem in the form of a series.