Pedro pounced on a poor passage of play from the visitors to open the scoring after just four minutes, and an excellent team goal finished off by Ruben Loftus-Cheek made the points safe late on.
Fulham had briefly threatened a leveller before that decisive blow, making it an unhappy return to Stamford Bridge for Claudio Ranieri, whose side remain bottom, while Chelsea at least momentarily move up to third.
It took a mere 220 seconds for Fulham's defensive woes to continue as sloppy play in midfield led to Chelsea's opener, their 1000th home goal in the Premier League.
1000 – Pedro’s strike for Chelsea was their 1000th home Premier League goal, becoming just the third club to reach this landmark in the competition after Manchester United (1079) and Arsenal (1029). Noughties. pic.twitter.com/VBpgjleX4r— OptaJoe (@OptaJoe) December 2, 2018
Cyrus Christie's poor pass put Jean Michael Seri in trouble and he was dispossessed by N'Golo Kante.
Sergio Rico was left relatively helpless but the Fulham goalkeeper was required to prevent Olivier Giroud from doubling Chelsea's lead, producing a fine stop to keep out his close-range effort after the ex-Arsenal striker latched on to Cesar Azpilicueta's right-wing cross.
Fulham started the second half in much more promising fashion and Seri almost atoned for his earlier error, delivering a fine corner from which Calum Chambers saw his near-post header brilliantly kept out by Kepa Arrizabalaga.
Chambers forced Kepa into a diving save as Fulham threatened what had previously looked an extremely unlikely equaliser.
A glorious chance to end any Fulham hope went begging as substitute Alvaro Morata lashed over from point-blank range after Rico turned Eden Hazard's deflected effort into his path.
However, Rico was helpless as Loftus-Cheek finally put the game to bed, playing a part in and emphatically finishing off a wonderful move involving Pedro and Hazard.
5 - Ruben Loftus-Cheek has scored five goals in his last six games in all competitions, one more than he netted in his first 60 appearances in his professional club career (four goals). Emerged. pic.twitter.com/1OtJDntYXv— OptaJoe (@OptaJoe) December 2, 2018
What does it mean? Sarri's men short of their best
Chelsea will undoubtedly be pleased to get back to winning ways in the league after being well beaten by Spurs, but the manner of victory was far from convincing. They were in control for the most part but the fact the Blues were unable to put the game to bed should be a source of frustration for Sarri.
Kepa keeps Fulham at bay
After a mixed game in the humbling by Tottenham, Sarri will have been pleased to see Kepa make a couple of important saves, particularly on a day when his side produced a below-par showing that better teams may have punished.
Seri has a sorry afternoon
Aside from a corner that Chambers almost converted, Seri endured a dreadful afternoon as Fulham's midfield was completely dominated. He was at fault for the goal and was consistently lackadaisical in possession.
Key Opta facts
- Chelsea are now undefeated in 11 Premier League home games (W6 D5) – their longest unbeaten run at Stamford Bridge in the competition since August 2015, when a 21-game run was concluded.
- Fulham have conceded 35 goals in the Premier League this season – their joint-most after 14 games of a top-flight league campaign (35 in 1959-60).
- Chelsea are unbeaten in 17 Premier League games against Fulham (W10 D7), winning each of the past four.
- This was the 14th time that a former Chelsea manager has returned to Stamford Bridge in a Premier League game and failed to win (D5 L9), with this being Fulham boss Ranieri’s third such attempt (D1 L2).
- Fulham have failed to keep a clean sheet in each of their past 18 games in the Premier League, and are the only side yet to keep one in the competition this season.
11 - Chelsea haven’t lost any of their last 11 home games in the Premier League (W6 D5) – their longest unbeaten run at Stamford Bridge in the competition since August 2015 (a run of 21 games). Building. pic.twitter.com/s6hLkaARAB— OptaJoe (@OptaJoe) December 2, 2018
Both Sarri and Ranieri will see their squad depth challenged by midweek fixtures. Chelsea visit Wolves while Fulham will see a home game with another of their manager's old employers, Leicester City, as a better opportunity to move off the bottom.