The United Arab Emirates carried out a rare execution Monday, putting to death by firing squad an Emirati woman convicted of the jihadist-inspired murder of a US school teacher, media reported.

Alaa Bader al-Hashemi, 30, was executed at dawn after President Sheikh Khalifa bin Zayed al-Nahyan approved the death sentence against her, said the official WAM news agency, citing prosecutors.

The National, an English-language daily, said Hashemi had been put to death by firing squad.

Hashemi was sentenced to death last month for stabbing to death mother of three Ibolya Ryan, 47, in a toilet of an Abu Dhabi shopping mall on December 1, 2014.

Dubbed the "Reem Island Ghost" after the location of the mall, Hashemi was also convicted of placing a handmade pipe bomb outside an Egyptian-American doctor's home in Abu Dhabi.

The device failed to explode.

In the verdicts issued in June, the Federal Supreme Court in Abu Dhabi said Hashemi had used an Internet account to spread information that was likely to "jeopardise" the United Arab Emirates.

She was also found guilty of having sent funds to Al-Qaeda in Yemen, knowing that this money would be used for "terrorist acts".

UAE law allows for capital punishment but executions are rare and death sentences are usually commuted to life in prison.

Hashemi's execution is the first in the oil-rich Muslim federation since January 2014 when a Sri Lankan was put to death by firing squad in for murdering an Emirati man eight years earlier.

Before his sentence was carried out, rights watchdog Amnesty International had reported last year that a dozen people had been executed in the UAE since 1997. (AFP)