Matt's winner came 20 minutes into the second half and followed a period of sustained pressure on the home goal.
Effective on the counter-attack, Fleetwood deserved their sixth win in eight matches.
They created the best chance of an entertaining first half when Matt rifled a shot against an upright - goalkeeper Sullivan deflecting the ball away for a corner.
The opening 45 minutes was an evenly contested affair, but as the game progressed Fleetwood gained the upper hand and seldom looked likely to lose their lead once Matt had netted.
- Sports & Recreation