Iceland's budget carrier WOW Air said it had ceased operations and cancelled all flights on Thursday, stranding thousands of passengers.

"All WOW Air flights have been cancelled. Passengers are advised to check available flights with other airlines," the carrier said in a statement.

"Some airlines may offer flights at a reduced rate, so-called rescue fares, in light of the circumstances. Information on those airlines will be published, when it becomes available."

Iceland's government said it estimated that 4,000 travellers were stranded, including around 1,300 currently in transit.

At Reykjavik airport, hundreds of passengers were stranded as 30 WOW Air flights to Paris, New York, Montreal were cancelled.

Two Portuguese tourists, Cristiana and Nuno Barrocas, were in Iceland as part of a trip around the world and rushed to the airport after hearing the news.

"Our dream is to go around the world but the start of our adventure is turning out worse than expected," the couple told AFP after their flight from Copenhagen to Reykjavik was delayed on Wednesday.

A 28-year-old Canadian university exchange student in Belgium, Charles Ouellet, was due to fly home to Montreal on a WOW flight via Reykjavik on April 3.

"I'm going to see if I can get refunded," he told AFP.

WOW Air, founded in 2011, exploited Iceland's location in the middle of the North Atlantic to offer a low-cost service between Europe and North America as well as tapping into a tourist boom to the volcanic island.

However it had flown into financial trouble in recent years due to heightened competition on transatlantic low-cost flights and rising fuel prices, and had been searching for an investor for months.

On Monday WOW Air said it was in talks to restructure its debt with its creditors after Icelandair ended brief negotiations over buying a stake in the no-frills airline. WOW Air was left needing USD 42 million to save the company, according to the Frettabladid newspaper.

The privately-owned airline has undergone major restructuring after posting a pre-tax loss of almost USD 42 million for the first nine months of 2018.

It has reduced its fleet from 20 to 11 aircraft, eliminating several destinations, including those to the US, and cutting 111 full-time jobs.

A report by a governmental work group has warned that a WOW Air bankruptcy would lead to a drop in Iceland's gross domestic product, a drop in the value of the krona and rising inflation.

In 2018, WOW Air, which employs 1,000 people, transported 3.5 million passengers.

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