We study strong stabilization for a coupled Schrödinger system, which describes some physical phenomena, such as propagation in birefringent optical fibers, Kerr-type photorefractive media in optics, and Bose-Einstein condensates, with fractional derivative damping. We prove well-posedness and polynomial stability using semigroup theory and a sharp result presented by A. Borichev, Y. Tomilov [5]
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Villagrán et al. (2025) studied this question.
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