For time-fractional diffusion with a fractional Brownian motion source and alpha plus H greater than 1, final-time mean and covariance uniquely determine f and |g|, but reconstruction is unstable.
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An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion
For time-fractional diffusion with a fractional Brownian motion source and alpha plus H greater than 1, final-time mean and covariance uniquely determine f and |g|, but reconstruction is unstable.