As the amount of data that needs to be processed in real-time due to recent application developments increase, the need for a new computing paradigm is required. Edge computing resolves this issue by offloading computing resources required by intelligent transportation systems such as the Internet of Vehicles from the cloud closer to the end devices to improve performance however, it is susceptible to security issues that make the transportation systems vulnerable to attackers. In addition to this, there are security issues in transportation technologies that impact the edge computing paradigm as well. This paper presents some of the main security issues and challenges that are present in edge computing, which are Distributed Denial of Service attacks, side channel attacks, malware injection attacks and authentication and authorization attacks, how these impact intelligent transportation systems and research being done to help realize and mitigate these issues.