An iterative method based on fuzzy Bernstein polynomials is presented for solving nonlinear fuzzy Volterra integral equations. To prove the convergence of the method, an error estimate is given in terms of Lipschitz constants. The accuracy of this method is illustrated by some numerical experiments that confirm the convergence stated in the theoretical result.

中文翻译：

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非线性模糊Volterra积分方程的迭代模糊Bernstein多项式方法

提出了一种基于模糊伯恩斯坦多项式的迭代方法来求解非线性模糊Volterra积分方程。为了证明该方法的收敛性，根据Lipschitz常数给出了误差估计。通过一些数值实验证明了该方法的准确性，这些实验证实了理论结果中所述的收敛性。