These types of cars do not have any kind of internal combustion engine, but are driven entirely using electric motors, which gets its power in different ways other than an engine.
A fuel cell makes electricity from hydrogen. Hydrogen is very common, but hard to store. It can be made from water but is usually made from natural gas. These cars are very rare, because there are not many places where one can fill up with hydrogen, and so not many are made. One of the few companies who makes fuel cell cars is Toyota, which has the Mirai.
A solar cell stores energy from the sun as electricity to make the car go. But the sunlight that lands on a solar car is not enough to make a full-sized car move very fast, and cannot work at night unless it stores energy somewhere. There is a competition every year to see who can make a car that goes the farthest on only solar power.

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