Violent protests have erupted in Mexican cities, over perceived government inactivity and indifference following the alleged murders of 43 students by cartel criminals who are in league with corrupt police.

In the capital, Mexico City, protesters managed to set fire to the wooden doors of the National Palace before police managed to establish a security perimeter around the building.

Earlier, protesters attempted to use a metal police barricade to batter down the door and gain entry into the building before police pushed them back.

Local media reported that two people were injured in the unrest.

Protesters in the Mexican state of Guerrero attacked government buildings in the capital, Chilpancingo, torching cars.

The demonstrators are enraged by alleged complicity between state officials and violent drugs gangs, and accuse the government of inaction in tackling corruption.

On Friday, Mexico's Attorney General, Jesus Murillo Karam, said that three alleged members of the Guerreros Unidos drugs gang claimed that 43 students who went missing in Iguala in September were handed over to them by police.

They said that some were already asphyxiated, and they shot others before burning the bodies.

Murillo said that the remains of the bodies were so charred it could take weeks to identify them, and that until then it would officially remain a missing persons case.

After an hour of questioning, Murillo called the conference to an end, remarking "Ya, me cansé", or "Enough, I'm tired."

The throwaway remark provoked fury, and have now been adopted as a rallying call by the protesters, trending on social media using the hastag #YaMeCansé.

In recent weeks, tens of thousands have taken to the streets of the capital and in Guerrero to protest against the government handling of the case.

The case has provided a focal point for anger after years of cartel violence, that has left an estimated 100,000 dead since 2006.