I can solve the problem. First, I created folder sqldrivers including libqsqlite.so in the app directory (e.x. /data/user/0/com.example.polarislib) and I set permission by chmod 777 to sqldrivers folder and libqsqlite.so file and finally I used the following code in my source where the connection to Sqlite is needed:
QCoreApplication::addLibraryPath("/data/user/0/com.example.polarislib");