In my experience, once cut, any given brand of cable is no more or less likely to fray. The key is to prepare all aspects of the job carefully.
Do not use pliers to cut your cables - these crush the cabling, thus increasing the risk of fraying. Use good quality cable-cutters designed for the job.
Check the cable outer. If it is lined (a small plastic sleeve running along the length of the housing, inside the steel casing), this sleeve can often become closed up when the outer is cut to length. Make sure it is opened up before attempting to force the inner cable through it.
Brake outer tends to have a spiral-wound steel casing, which when cut may protrude over the central axis of the cable outer, thus making it difficult to thread the inner through it. Ensure any such offending bits of casing are trimmed away first.