Hello, try "/home/fuzkabir/public_html" instead of "/$home/fuzkabir/public_html" .
What works for me is: mysqldump u_kolossos_databaseX tableXXX > XXX.sql
Greetings Kolossos
mysqldump u- username -p password `u_fuzkabir`.`university` > /$home/fuzkabir/public_html;