Hi freelanzor,
The Oracle equivalent for information_schema.COLUMNS is USER_TAB_COLS for tables owned by the current user.
ALL_TAB_COLS or DBA_TAB_COLS for tables owned by all users.
So the query will be like below.
SELECT COLUMN_NAME
FROM ALL_TAB_COLUMNS
WHERE TABLE_NAME = 'TableName'
ORDER BY COLUMN_ID;
For more details, please refer below link.
https://docs.oracle.com/cd/B13789_01/server.101/b10755/statviews_1179.htm