Simultaneous determination of initial value and source term for time-fractional wave-diffusion equations

Paola Loreti, Daniela Sforza, Masahiro Yamamoto

We consider initial boundary value problems for time fractional diffusion-wave equations: $$d_t^{\alpha }u=-Au+\mu (t)f(x)$$ in a bounded domain where $\mu (t)f(x)$ describes a source and…