中文摘要：

考虑一类时间分数阶扩散方程只与空间变量有关的源项反问题,分析源项反问题的不适定性,将源项反问题转为优化问题,构造出直接求解反问题的反演方法。数值算例表明,该反演算法是比较稳定的。

英文摘要：

A source inverse problem independent of time for a kind of time fractional diffusion equation is considered. Firstly,the ill- posedness of inverse problem is analyzed. Then,the source inverse problem is transformed into an optimization problem,and an inversion method is proposed to directly solve it. Numerical examples indicate that the proposed method is stable to the source inverse problem.