The Belgium international put in a powerhouse performance at the Liberty Stadium and wants the Toffees' fine start to the season to contue over the course of the campaign
The Belgium international proved impossible to handle for the Swans defence and scored the third goal to wrap up a fine afternoon for David Moyes' side.
"I thought it was a great game," Fellaini told Sky Sports. "The team played well, scored three goals, so everybody's happy.
"Swansea kept the ball all the time last year [and] try this season also, but I think Everton made good pressing and tried to stop the Swansea players. A great job today for Everton."
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The towering midfielder also picked up an assist for the first goal of the game, scored by Victor Anichebe, although he appeared to handle the ball into the path of the Nigerian.
"I tried to put my head [there]," he insisted. "Maybe [it was] handball, maybe not, I don't know, I tried to put my head [there]."
The Toffees have enjoyed a fine start to the season and have kept the pace with the teams at the top of the Premier League, with Fellaini also in excellent goalscoring form, after being positioned further up the field.
He enthused: "This season I play more in the front, so I try to score the goals. I score goals so it's good for the team.
"Now, Everton try to win every game. I know it's difficult to win every game but the club try, the players try. At the moment the players have good confidence and keep going. [We] try to win again on Tuesday against Leeds."