The authors consider two-dimensional Volterra integral equations of the form
where takes the degenerate form
In section 2 fundamental properties of the TDDT are summarised in a theorem. This is followed by the main theorem in the paper which states and derives differential transforms for
The method is described in section 3. Section 4 includes illustrative examples (including a non-linear problem) to demonstrate the accuracy of the presented method. In each example a recurrence relation for the differential transform is obtained and results arising from the use of Maple are given. The authors anticipate that the method will be developed for solving two-dimensional Volterra integro-differential equations and their systems.