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JCR supports such features as Lucene Fuzzy Searches Apache Lucene - Query Parser Syntax.
To use it, you have to form a query like the one described below:
QueryManager qman = session.getWorkspace().getQueryManager();
Query q = qman.createQuery("select * from nt:base where contains(field, 'ccccc~')", Query.SQL);
QueryResult res = q.execute();