  This article deals with the uniqueness in identifying multiple parameters
simultaneously in the one-dimensional time-fractional diffusion-wave equation
of fractional time-derivative order $\in (0,2)$ with the zero Robin boundary
condition. Using the Laplace transform and a transformation formula, we prove
the uniqueness in determining an order of the fractional derivative, a
spatially varying potential, initial values and Robin coefficients
simultaneously by boundary measurement data, provided that all the eigenmodes
of an initial value do not vanish. Furthermore, for another formulation of
inverse problem with input source term in place of initial value, by the
uniqueness in the case of non-zero initial value and a Duhamel principle, we
prove the simultaneous uniqueness in determining multiple parameters for a
time-fractional diffusion-wave equation.
