We　consider　the　initial　value　problem　to　the　fractional　system　of　motions　for　compressible　viscous　fluids　in　this　paper.　We　establish　a　local　well-posedness　theory　for　the　system,　as　well　as　a　global　well-posedness　theory　for　small　initial　data.　We　also　show　the　large-time　behavior　of　the　solution,　where　solutions　converge　to　a　constant　steady　state　exponentially　in　time.&　COPY;2023　Elsevier　Ltd.　All　rights　reserved.