jQuery touchSwipe Carousel/Slider plugin is required for detecting swipe events on on touch input devices and falling back to mouse 'drags' on the desktop.
ItemSlide.js is a jQuery plugin for a touch enabled carousel that works both on desktop and mobile.
OWL Carousel 2 is a fully responsive and touch friendly carousel for jQuery/Zepto.
Slick is a jQuery responsive touch carousel that you'll ever need.
Microfiche is a carousel library that is focusing on performance, simplicity and touch.