I'm not sure if you're looking for a specific answer, but in my perspective...
They are similar in that they introduce a particular topic. Usually both establish the "playing field" the topic will be discussed on. This included boundaries and opinions etc.
They are different in that argumentative thesis statements are one sided and the it's purpose is to defend their argument. They usually begin by introducing a dispute or a question and establishing their position/what they believe.
Explanatory thesis statements usually lay down the foundation for discussion and introduce in detail what the reader and author will ponder. They explain.