A new architecture with drone-assisted multi-access edge computing (MEC) is proposed for vehicular networks to support computation-intensive and delay-sensitive applications and services. Artificial intelligence (AI)-based resource management schemes are developed such that terrestrial and aerial spectrum, computing, and storage resources can be cooperatively allocated for guaranteeing the quality of service requirements from different applications. A case study on the joint management of the spectrum and computing resources is presented to demonstrate the effectiveness of AI-based resource management schemes.