Symmetry structure of multi-dimensional time-fractional partial differential equations

Abstract In this paper, we concentrate on the Lie symmetry structure of a system multi-dimensional time-fractional partial differential equations (PDEs). Specifically, first give an explicit prolongation formula involving Riemann–Liouville derivative for infinitesimal generator in case, and then show that has elegant structure. Furthermore, present two simple conditions to determine generators where one is linear PDEs, other integer-order PDEs plays dominant role finding generators. We study three illustrate efficiencies results.