The rapid advancement of technology has led to new applications, such as online gaming, virtual reality, and augmented reality, which demand substantial computing power. However, deploying these applications on mobile devices poses challenges due to their limited computing capacity. Mobile edge computing addresses this issue by enabling users to offload tasks to nearby edge servers. In this paper, we propose using unmanned aerial vehicles (UAVs) as mobile edge servers, leveraging their flexibility to establish high-quality user connections. UAVs equipped with robust computing resources can assist in processing tasks either partially or entirely, thereby facilitating the widespread adoption of modern applications. The objective of this study is to minimize overall network latency while ensuring quality of service, defined by minimum latency for user tasks and a guaranteed minimum data rate for offloading. We present an approximate solution method to address the offloading decision and power allocation problems. Simulation results demonstrate the superior performance of our approach compared to existing benchmarks.