To be able to "fade" items, use the CSS code below.

.carousel.carousel-fade .item {
  -webkit-transition: opacity 0.5s ease-in-out;
  -moz-transition: opacity 0.5s ease-in-out;
  -ms-transition: opacity 0.5s ease-in-out;
  -o-transition: opacity 0.5s ease-in-out;
  transition: opacity 0.5s ease-in-out;
  opacity: 0;
  filter: alpha(opacity=0);
}
.carousel.carousel-fade .active.item {
  opacity: 1;
  filter: alpha(opacity=100);
}
.carousel.carousel-fade .active.item.left,
.carousel.carousel-fade .active.item.right {
  left: 0;
  z-index: 2;
  opacity: 0;
  filter: alpha(opacity=0);
}
.carousel.carousel-fade .next,
.carousel.carousel-fade .prev {
  left: 0;
  z-index: 1;
}
.carousel.carousel-fade .carousel-control {
  z-index: 3;
}