In　this　paper,　a　simulation　model　of　the　charge-controlled　memcapacitor　is　realized,　and　fractional　calculus　is　used　to　analyze　it.　An　interesting　phenomena　found　out　is　that　the　curve　is　bent　downward　as　the　parameter　order-α　decreases.　And　then,　the　fractional-order　memcapacitor　Chua＇s　differential　equations　are　presented.　Theory　analysis　and　simulation　results　show　the　influence　of　the　fractional-order　to　the　system　dynamics.　The　nonlinear　dynamics　of　the　above　fractional-order　nonlinear　system　including　phase　graphs,　time　domain　waveforms　and　bifurcation　diagrams　are　studied　in　detail,　during　which　many　interesting　phenomena　are　discovered.　We　observe　that　chaos　seems　to　disappear　as　the　order　q　decreases.　Meanwhile,　when　q1　=3D　q2　=3D　q3　=3D　0.90,　the　chaos　disappeared　completely.　Finally,　corresponding　bifurcation　diagram　of　variable　Y　versus　parameter　q,　q1,　q2　and　q3　are　presented　respectively,　and　get　a　conclusion　that　the　order　q3　has　the　greatest　influence　on　Chaos　than　q1　and　q2.　©　2018　IEEE.