In this paper, we consider two-dimensional inverse problem for a fractional diffusion equation. The inverse problem is reduced to the equivalent integral equation. For solving this equation, the contracted mapping principle is applied. The local existence and global uniqueness results are proven. Also, the stability estimate is obtained.

中文翻译：

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时间分数方程的二维扩散系数确定问题

在本文中，我们考虑分数扩散方程的二维逆问题。逆问题简化为等效积分方程。为了解决这个方程，应用了收缩映射原理。证明了局部存在性和全局唯一性结果。此外，还获得了稳定性估计。