Honestly I didnt know but have checked it out for you. Here are what
I've found:

Assurence Fund is directed by Turkish Insurance Companies Organization (
Türkiye Sigorta ve Reasürans Şirketleri Birliği) and application should be
sent to them via registered mail.

Their Address is "Büyükdere Caddesi Büyükdere Plaza No:195 Kat 1-2
80620 LEVENT ISTANBUL TURKEY", phone: 90 212 324 19 50 and Fax: 90
212 325 61 08.

You can find their web page at http://www.tsrsb.org.tr/.

And more information about how compansation and their operation works
can be found at Traffic Assurance Fund Regulation (Karayolları Trafik
Garanti Fonu Yönetmeliği). Its web page is at
http://www.hazine.gov.tr/mevzuat/garfon1.htm It's in Turkish though..