Abstract
We investigate the Cauchy problem for a 2 x 2-system of weakly coupled semi-linear fractional wave equations with polynomial nonlinearities posed in R(+)xR(N). Under appropriate conditions on the exponents and the fractional orders of the time derivatives, it is shown that there exists a threshold value of the dimension N, for which, small data-global solutions as well as finite time blowing-up solutions exist. Furthermore, we investigate the L-infinity-decay estimates of global solutions.