In　this　paper,　based　on　Jumarie＇s　modified　Riemann-Liouville　derivative,　we　apply　the　fractional　variational　iteration　method　using　He＇s　polynomials　to　obtain　solitary　and　compacton　solutions　of　fractional　KdV-like　equations.　The　results　show　that　the　proposed　method　provides　a　very　effective　and　reliable　tool　for　solving　fractional　KdV-like　equations,　and　the　method　can　also　be　extended　to　many　other　fractional　partial　differential　equations.