Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation

<p style='text-indent:20px;'>We consider two kinds of inverse problems on determining multiple parameters simultaneously for one-dimensional time-fractional diffusion-wave equations with derivative order <inline-formula><tex-math id="M1">\begin{document}$ \alpha \in (0, 2) $\end{document}</tex-math></inline-formula>. Based the analysis poles Laplace transformed data and a transformation formula, we first prove uniqueness in identifying parameters, including time, spatially varying potential, initial values, Robin coefficients from boundary measurement data, provided that no eigenmodes are zero. Our main results show four holds by such observation model where unknown orders id="M2">\begin{document}$ $\end{document}</tex-math></inline-formula> vary 1, restricted to neither id="M3">\begin{document}$ 1] nor id="M4">\begin{document}$ (1, Furthermore, another formulation fractional equation input source term place value, can also simultaneous potential means result case non-zero value Duhamel's principle.</p>