Uniqueness for inverse source problems for fractional diffusion-wave equations by data during not acting time

We consider fractional diffusion-wave equations with source term which is represented in a form of a product of a temporal function and a spatial function. We prove the uniqueness for inverse source problem of determining spatially varying factor by decay of data as the time tends to infinity, provided that the source if data decay more rapidly than (1/tp )with any p is an element of N as t ->infinity. Data taken not tp from the initial time are realistic but the uniqueness is not known in general. The proof is based on the analyticity and the asymptotic behavior of a function generated by the solution.