Carleman estimate for a fractional diffusion equation with half order and application

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A tutorial on inverse problems for anomalous diffusion processes (2015, unknown): “Carleman estimates for time fractional diffusion were discussed in [108, 13, 62].”
Coefficient inverse problem for a fractional diffusion equation (2013, background): “See [37, 39, 40], which establish Carleman estimates and apply them to the inverse problems of determining functions in the fractional diffusion equations and prove conditional stability.”
Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations (2016, background): “With the final overdetermining data, Sakamoto and Yamamoto [28] showed the generic well-posedness for reconstructing the spatial component.”
Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation (2013, unknown): “Murio [37] studied an inverse problem of recovering boundary functions from transient data at an interior point in a 1D semi-infinite half-order time-fractional diffusion equation and discussed a stable algorithm by the mollification technique; Liu and Yamamoto [30] solved a backward problem for the”