  We consider the coagulation dynamics A+A -> A and the annihilation dynamics
A+A -> 0 for particles moving subdiffusively in one dimension, both on a
lattice and in a continuum. The analysis combines the "anomalous kinetics" and
"anomalous diffusion" problems, each of which leads to interesting dynamics
separately and to even more interesting dynamics in combination. We calculate
both short-time and long-time concentrations, and compare and contrast the
continuous and discrete cases. Our analysis is based on the fractional
diffusion equation and its discrete analog.
