Leila Alizadeh - Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University

In the Hilbert Space (???????) . Based on the concept of the reproducing kernelfunction combined with Gram-schmidt orthogonalization process, we represent an exact solutionin a form of fourier series in the reproducing kernel Hilbert space (????????)Accordingly, the approximate solution of the system of fuzzy Volterra integro-differentialequations is obtained by the n-term intercept of the exact solution and proved to converge to theexact solution. Finally, two numerical examples are presented to illustrate the reliability,appropriateness and efficiency of the method.

Hilbert space, Voltera differential equation, integral equation