Wireless　power　transfer　(WPT)　is　an　emerging　technology　that　enables　the　wireless　transfer　of　electrical　energy　from　power　supplies　to　electrical　equipment.　It　has　been　widely　used　in　electric　vehicles,　mobile　phones,　household　appliances,　medical　devices,　and　other　fields.　However,　the　frequency　splitting　and　bifurcation　phenomena　existing　in　WPT　systems　are　the　fundamental　obstacles　and　challenges　that　affect　the　effective　operation　of　WPT　systems.　In　this　paper,　a　method　based　on　the　fractional-order　circuit　is　proposed　to　simultaneously　suppress　the　frequency　splitting　and　bifurcation　phenomena　by　changing　the　order　of　fractional-order　capacitor.　By　replacing　the　compensation　capacitor　in　the　transmitter　of　the　traditional　WPT　system　with　a　fractional-order　capacitor,　a　fractional-order　WPT　system　is　formed.　Then,　using　fractional　calculus　and　circuit　theory,　the　mathematical　model　of　the　proposed　WPT　system　containing　a　fractional-order　capacitor　is　established,　and　the　frequency　splitting　and　bifurcation　phenomena　are　analyzed.　The　theoretical　results　show　that　the　frequency　splitting　and　bifurcation　phenomena　are　suppressed　only　by　adjusting　the　order　of　fractional-order　capacitor,　and　the　output　power　of　the　original　resonant　frequency　is　improved.　Finally,　the　experimental　prototype　is　implemented　to　validate　the　theoretical　results.　In　this　paper,　a　method　based　on　the　fractional-order　circuit　is　proposed　to　simultaneously　suppress　the　frequency　splitting　and　bifurcation　phenomena　by　changing　the　order　of　fractional-order　capacitor.　The　theoretical　results　show　that　the　frequency　splitting　and　bifurcation　phenomena　are　suppressed　only　by　adjusting　the　order　of　fractional-order　capacitor,　and　the　output　power　of　the　original　resonant　frequency　is　improved.　Finally,　the　experimental　prototype　is　implemented　to　validate　the　theoretical　results.image