The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of ε u tt + u t + ( - Δ ) β u = 0 , u ( 0 , x ) = φ ( x ) , u t ( 0 , x ) = ψ ( x ) , which we derive particularly to observe the roles of ε and β in the long time behavior of solutions. Moreover, we apply these estimates to obtain local in time weak solutions, and global solutions, under the influence of a nonlocal non-power nonlinear term.