There are no specific AC or DC capacitors. All capacitors can be used in DC applications. In AC applications, only non-polarized capacitors which do not have polarity should be used.
Electrolytic capacitors are examples of polarized capacitors. These capacitors have a fixed polarity and should never be used in AC circuit as there is a risk of the capacitor exploding.
Other capacitors such as paper capacitors, film capacitors, air capacitors are non-polarized and can be used in both circuits.