A non‐characteristic Cauchy problem for the time fractional order diffusion equation in the 2‐D setting is a severely ill‐posed problem . In this paper , a regularization solution is constructed for the problem by using Tikhonov method , and then the error estimate between regularation approximation solution and exact solution is given .%二维时间分数阶的扩散方程非特征Cauchy问题是一个严重不适定的问题，本文通过Tikhonov正则化方法构造正则解，并获得了正则近似解与精确解之间的误差。
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