In the Control Panel, go to Regional and Language Options. Select Arabic (Libya). Click OK.

Now double click on the clock in the tasktray. In the Date and Time Properties window, click on the month drop-down menu. You will see the months for that particular region.

You can do the same for any other Arab country.

Please notice that the names of months in Libya have undergone a number of changes since the overthrow of monarchy. They are in a state of flux. With the recent geopolitical changes, Libya may begin to experience some stability, and with it the names of the months may finally settle on a fixed formula.