Fatiha Alabau-Boussouira (born 1961) is a French applied mathematician specializing in the control theory of partial differential equations. She is affiliated with the Laboratoire Jacques-Louis Lions of Sorbonne University as an external member, a professor at the University of Lorraine in the mathematics department of its Metz campus, and a former president of the Société de Mathématiques Appliquées et Industrielles, a French society for applied mathematics.