Subdiffusion-limited A+A reactions -: art. no. 118301

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