Reports that Islamic State terrorists had captured an Israeli-Canadian woman who had been training with Kurdish forces turned out to be false after she posted a note on Facebook on Monday saying she was fine.

"Guys, I'm totally safe and secure," wrote Gillian Rosenberg, 31.

"I don't have internet access or any communications devices with me for my safety and security."

Canadian and Israeli authorities had spent two days trying to determine the fate of Ms Rosenberg, a "female Zionist sol-dier" as described by the pro-Islamists who claimed she had been captured by Islamic State on November 29 in Kobani, Syria.