Multi-access edge computing (MEC) supported by non-orthogonal multiple access (NOMA) can satisfy transmission, computation capacity, and energy requirements. This paper analyzes the role of unmanned aerial vehicles (UAVs) enabled MEC framework incorporating NOMA. Firstly, terrestrial users are provided computation assistance by multiple UAVs as edge servers while the role of NOMA method reduces the energy consumption of task offloading. Next, UAVs are cheap and flexible relay platforms. The movement of UAVs significantly decreases the consumption of task offloading at smart mobile devices. Consequently, it makes the network more flexible for edge server deployment. That is the reason a UAV connected to MEC networks has become popular. The challenges are known as how to address the UAV-assisted MEC system to: (1) minimize the sum/average delay of all users; and (2) maximize the throughput. Consequently, after addressing the upper optimization problems using existing proposals, we investigate the role of UAV in NOMA-enabled Multi-Access edge computing networks via the simulation results under different values. Exceptionally, energy consumption is reduced in UAV-assisted MEC systems.