In　this　work,　we　studied　the　radial　point　interpolation　collocation　method　(RIPCM)　for　the　solution　of　the　partial　differential　models　with　fractional　derivatives.　In　the　present　meshless　method,　polynomial　basis　function　and　two　novel　types　local　support　fields　were　considered.　The　(time-)space　fractional　differential　equations　with　single-term　or　multi-term　time　derivatives　in　irregular　domain　were　well　simulated　numerically　by　the　proposed　RIPCM　method.　Numerical　tests　were　carried　out　to　verify　the　accuracy　and　demonstrate　the　strength　of　the　RIPCM　in　solving　fractional　derivative　models　in　irregular　domain.　©　2021　Elsevier　Ltd