Searching for part of the filename will work with fulltext, as long as your
wildcard is at the end of the phrase and not the beginning.
If you filename is 'myfilenameisthis.doc' and you do a search like:
select *
from table
where contains(filename, 'myfilename*')
then it should work, but this won't:
select *
from table
where contains(filename, '*myfilename')
>> Stay informed about: Using FullText Search for file names