Uniqueness of inverse source problems for time-fractional diffusion equations with singular functions in time

Yikan Liu, Masahiro Yamamoto

We consider a fractional diffusion equations of order $\alpha \in (0,1)$ whose source term is singular in time: $({\partial }_t^{\alpha }+A)u(x,t)=\mu (t)f(x)$, $(x,t)\in \Omega \times (0,T)$, where $\mu$ belong…