The Cottagers' first away game will come a week later when they play another Midlands team, Wolverhamtpon Wanderers, away.
QPR will pay their first league visit to Craven Cottage in many years on October 1, while other west London derbies will see Chelsea visit on April 9, with Fulham travelling to Stamford Bridge on Boxing Day.
The other festive fixture will see Fulham travel to Norwich to take on the Premier League new-boys on New Year's Day, while they have a much shorter journey, across London to Spurs, to see out their season on May 13.