We consider the coagulation dynamics A + A --> A and A + A reversible arrow
A and the annihilation dynamics A + A --> 0 for particles moving subdiffus
ively in one dimension. This scenario combines the "anomalous kinetics" and
"anomalous diffusion" problems, each of which leads to interesting dynamic
s separately and to even more interesting dynamics in combination. Our anal
ysis is based on the fractional diffusion equation.