Israel accuses the organisation is affiliated with Hamas and "openly promotes terrorism".
Carter is scheduled to meet with Israeli Defence Minister Moshe Yaalon on Monday and with Prime Minister Benjamin Netanyahu on Tuesday
The UN Security Council unanimously adopted a resolution on Monday endorsing the deal, which relieves Iran of sanctions and ensures it retains a nuclear fuel cycle but also retains an arms embargo and ban on ballistic missile technology.
The rebels and their allies started shelling the town of Dar Saad on Sunday, after losing control of some of Aden's neighbourhoods.
Nearly 100 people were injured and treated in hospitals in the region.
Although the two forces are fighting in different parts of the northeastern city, where control is divided between the Kurds and the government, both are necessary to defeat the extremists.
Egyptian security officials said militants launched the attacks on two checkpoints using rocket-propelled grenades.