An absorbent article includes a stretchable substrate layer and an absorbent core formed directly on the substrate layer, and adhesively attached to the substrate layer. The absorbent core includes about 40-99% by weight superabsorbent particles and about 1-60% by weight adhesive fibers. The absorbent core does not prevent the substrate layer or absorbent article from stretching. The absorbent article can be a personal care absorbent article or a medical absorbent article, and is suitably stretchable or elastic in at least one direction.