中文摘要：

基于经典block-by-block方法的思想，构造了二维分数阶Volterra积分方程的一个修正block-by-block数值求解格式。该方法的优点在于只需求解u（X1，y），u（x2，y），u（x，y1）和u（x，y2），其他未知量均不需要耦合求解。数值算例表明该格式具有较好的逼近性。

英文摘要：

Based on the classical block-by-block approach, a modified block-by- block numerical scheme is proposed for two-dimensional fractional Volterra inte- gral equations. The advantage of this approach is that it is necessary to derive the coupling of the unknown solutions at each block step with an exception only at u（xl,y）, u（x2,y）, u（x, yl）, and u（x,y2）. Numerical examples show that the numerical solution approximates to the exact solution well.