On solving a system of singular Volterra integral equations of convolution type

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.

Research highlights
► We present the solutions for a system of singular Volterra integral equations of convolution type.
► For these solutions, we have used the fractional differential transform method.
► These solutions are calculated in the form of convergent series with easily computable terms.
► Exact solutions can be achieved by well-known series solutions.
► Several examples are given to demonstrate reliability and performance of the presented method.