Advent of emerging technologies in the transportation shall led to expansion of electric vehicles (EVs) to urban taxi fleets. In future, Connected and Autonomous Electric Vehicle (CAEV) could likely be the next transportation revolution, especially in taxi fleets. With adoption of CAEVs, it is expected to improve road safety, optimize traffic flow, reduce fuel consumption, and minimize carbon emission in urban environment. However, limited driving range and longer recharging time would be key limitations for widespread deployment of CAEVs. Even though range anxiety caused by limited driving range can be minimized by recharging CAEVs with Dynamic Wireless Charging (DWC) that uses inductive power transfer (IPT) technology. However, due to the sparsely deployed DWC infrastructure, charging CAEV taxi using roadway IPT might be challenging. In this paper, we propose a taxi dispatching solution with DWC plan for urban CAEV taxi fleet in the DWC system using roadway IPT charging technique. Objectives are to minimize waiting time for rider and curtail arrival delay due to detour. Compared to primal dispatching strategy, the proposed strategy can perform better.