Uniqueness of solution with zero boundary condition for time-fractional wave equations.

We consider a solution u to an initial boundary value problem in a bounded domain Ω over a time interval (0 , T) for a time-fractional wave equation where the order of time derivative is between 1 and 2. We prove that if u | ω × (0 , T) = 0 for arbitrarily chosen subdomain ω ⊂ Ω , then u = 0 in Ω × (0 , T). [ABSTRACT FROM AUTHOR]