Inverse Problem to Determine Two Time-Dependent Source Factors of Fractional Diffusion-Wave Equations from Final Data and Simultaneous Reconstruction of Location and Time History of a Point Source

In this paper, two inverse problems for the fractional diffusion-wave equation that use final data are considered. The first problem consists in determination of time-dependent source terms. Uniqueness is established under an assumption given space-dependent factors these terms “sufficiently different”. proof uses asymptotical properties Mittag–Leffler functions. second problem, aim to reconstruct a location and time history point source. uniqueness deduced from theorem previous one-dimensional case.