Meso/micro scale combustion systems are being developed mainly for miniaturized propulsion systems and unmanned vehicles' on-board power systems. Micro gas turbines, for power supply in remote applications, is another important utilization for meso-micro scale combustion systems.
The advantage of micro combustion systems is their high energy density compared to batteries, hence making them a possible alternative for portable devices as well as small unmanned vehicles, as Khalid said.
You will find here a good article about micro combustion research and development, with possible applicaitons in the introduction: