A man walks in front of a poster of the All Nippon Airways (ANA)'s Boeing 787 plane in Tokyo. ANA had to cancel a flight earlier this week after a computer wrongly indicated there was a problem with the Boeing 787's brakes.

(Associated Press)

Prompted by a series of mechanical issues this week, the Federal Aviation Administration says it'll investigate Boeing's 787 Dreamliner.

Although both the FAA and Boeing say there's no data to suggest the plane is unsafe, investigators want to get to the bottom of recent issues on board the aircraft.

It's been a tough week for the Dreamliner. Monday, a fire started aboard an empty Japan Airlines plane in Boston. Tuesday brought a fuel leak on another plane in the Japan Airline fleet. Then Wednesday All Nippon Airways (ANA) cancelled a flight because computers showed a problem with the breaks on a third Dreamliner.

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Then Friday, Japan's All Nippon Airways reported two new cases of problems. ANA spokeswoman Ayumi Kunimatsu said a tiny amount of oil was discovered leaking from one 787 engine.

FAA Director Michael Huerta and Transportation Secretary Ray LaHood said at a news conference Friday they believed the plane was safe.

"I would have absolutely no reservations about boarding one of these planes and taking a flight," LaHood said.

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Boeing also standing behind its aircraft. After Monday's fire the company released a short statement saying it was working with the National Transportation Safety Board (NTSB) and that "nothing that we've seen in this case indicates a relationship to any previous 787 power system events."

Boeing rolled out its first Dreamliners in 2011, saying they make passengers more comfortable because of cleaner air, bigger windows and more overhead storage space. Boeing also says it has 20% better fuel efficiency than other airplanes it its class.

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In this photo taken Tuesday, Dec. 18, 2012, at O'Hare International Airport in Chicago, travelers enjoy drinks and dishes at ICE Bar in Terminal 3. (AP Photo/M. Spencer Green)