You didn't give much informations, so I need to presume some points:
- you are talking about regular fuses, not automatic cicruit breakers
- you have checked that there isn't a problem with the switchboard itself, e.g. a defect fuse socket that runs hot
- it's a typical home installation, not involving large machines and similar stuff
A regular fuse will tolerate 200 % of it's current rating for about 15 minutes. It only trips fast under short circuit or massive overcurrent. In so far the observed behaviour looks like continuous overload. Small load variations result in varying time until fuse trip. It's rather unlikely that a short circuit occurs repeatedly without a previous action you should be aware of, e.g. switching an electric stove, a light, a water heater, an A.C..
You said there's no overload, how do you know? Did you monitor the meter rotation speed? It can be converted to kW and A.