Three F-16 jets took off from an airbase in southern Diyarbakir in Friday's early hours and hit three Islamic State targets with laser-guided smart bombs, the prime minister's office said.
Carter met with Iraqi officials, including Prime Minister Haider al-Abadi and Defense Minister Khaled al-Obaidi to discuss the fight against Islamic State (IS) militants.
The attacker detonated an explosive vest among a group of shoppers at a bazaar at Almar in northern Faryab province, killing mostly civilians and one Afghan Army soldier.
Iranian Foreign Minister Mohammad Javad Zarif delivered a speech in support of the deal, which has been criticized by conservatives and the leadership of the country's Revolutionary Guards.
The blast took place outside a cultural center as a political group held a press conference discussing the reconstruction of majority Kurdish town of Kobane just across the Syrian border.
American aircraft bombed Afghan National Army positions in eastern Logar province at around 7am local time, officials told VICE News.
Militants from an Islamic State-linked group calling itself Sinai Province have claimed that they fired a rocket at the navy vessel. Footage shows the boat on fire in the Mediterranean Sea.
Landmark face-to-face negotiations took place for the first time last week, but it was unclear if they were authorized by senior leadership.
Israeli officials and Congressional Republicans criticized the historic nuclear deal announced Tuesday between Iran and six world powers, although many in the international community have welcomed it.
The operation against the Islamic State began at dawn and includes troops and police as well as Shia militias and allied Sunni tribes, officials said.
The total number to have fled the country has now reached 4,013,000 people after yet more left their homes as a result of fresh fighting and Turkey updated its statistics, the United Nations High Commissioner for Refugees (UNHCR) said.
The group raised issues including the presence of foreign troops in Afghanistan, prisoner release, and removal of Taliban members from UN sanction lists during its first official peace talks with the Kabul government.
Further discussions will be held after the Muslim holy month of Ramadan. Worries over the Islamic State's expanding influence could be driving the Taliban to negotiate with the government.
The cabinet drafted a new terrorism law on Sunday that said reporters who published casualty figures and other information that differs from that released by the state could be imprisoned for at least two years.
Wednesday's attack killed dozens, the latest incident in a full-blown insurgency posing the biggest challenge yet to President Abdel-Fattah el-Sisi's rule.
Human Rights Watch says the coalition is using large-scale blast and fragmentation weapons in residential zones. One bombing killed 27 members of the same family, including 17 children.
It is as yet unclear how so many IS militants were able to infiltrate Kobane, even under disguise, and avoid the many YPG checkpoints on its fringes.
Reportedly disguised in Kurdish and Free Syrian Army uniforms, Islamic State militants launched simultaneous assaults on Syrian Kurds and government forces.
Iran's supreme leader has toughened his position on nuclear negotiations just a week before the deadline for a final deal, a move that could seriously hinder chances of reaching agreement.
Kurdish forces and allied rebels have advanced even further on the Islamic State, capturing a military base and a town close to Raqqa, the capital of the jihadists' self-proclaimed caliphate.