Azure is a complete cloud platform that can host your existing applications, streamline the development of new applications, and even enhance on-premises applications. Azure integrates the cloud services that you need to develop, test, deploy, and manage your applications—while taking advantage of the efficiencies of cloud computing.
HYPER-V is a server hypervisor that enables consolidation of a single physical server into many virtual servers, all sharing the hardware resources of the host server and powered by Hyper-V. Hyper-V operates both as a standalone solution and as an addition to Windows Server 2008 R2 and was built to improve server utilization and reduce capital costs for buying an in-house physical server.