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On solving a system of singular Volterra integral equations of convolution type. (English) Zbl 1222.65152

Summary: This paper presents approximate analytical solutions for a system of singular Volterra integral equations of convolution type by using the fractional differential transform method. The solutions are calculated in the form of convergent series with easily computable terms and also the exact solutions can be achieved by well-known series solutions. Several examples are given to demonstrate reliability and performance of the presented method.

MSC:

65R20 Numerical methods for integral equations
45G15 Systems of nonlinear integral equations
45D05 Volterra integral equations
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