Alfresco supports fuzzy searches based on the Lucene default Levenshtein Distance.
To do a fuzzy search use the tilde (~) symbol at the end of a single word term with a parameter between 0 and 1 to specify the required similarity. Use a value closer to 1 for higher similarity.
For example, to search for a term similar in spelling to roam use the fuzzy search:
roam~0.9
This search will find terms like foam, roaming, and roams.