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@charset "utf-8";
 
.carousel-fade .carousel-inner .item { opacity: 0; transition-property: opacity; }
.carousel-fade .carousel-inner .active { opacity: 1; }
.carousel-fade .carousel-inner .active.left, .carousel-fade .carousel-inner .active.right { left: 0; opacity: 0; z-index: 1; }
.carousel-fade .carousel-inner .next.left, .carousel-fade .carousel-inner .prev.right { opacity: 1; }
.carousel-fade .carousel-control { z-index: 2; }

/*
  WHAT IS NEW IN 3.3: "Added transforms to improve carousel performance in modern browsers."
  Need to override the 3.3 new styles for modern browsers & apply opacity
*/
@media all and (transform-3d), (-webkit-transform-3d) {
.carousel-fade .carousel-inner > .item.next, .carousel-fade .carousel-inner > .item.active.right { opacity: 0; -webkit-transform: translate3d(0, 0, 0); transform: translate3d(0, 0, 0); }
.carousel-fade .carousel-inner > .item.prev, .carousel-fade .carousel-inner > .item.active.left { opacity: 0; -webkit-transform: translate3d(0, 0, 0); transform: translate3d(0, 0, 0); }
.carousel-fade .carousel-inner > .item.next.left, .carousel-fade .carousel-inner > .item.prev.right, .carousel-fade .carousel-inner > .item.active { opacity: 1; -webkit-transform: translate3d(0, 0, 0); transform: translate3d(0, 0, 0); }
}

Editing File: bootstrapcarousel-fade.css