On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems

The problem of finding Lie point symmetries for a certain class multi-dimensional nonlinear partial fractional differential equations and their systems is studied. It assumed that considered involve derivatives with respect to only one independent variable, each equation contains single derivative. most significant examples such are time-fractional models processes memory power-law type. Two different types derivatives, namely Riemann–Liouville Caputo, used in this study. proved any symmetry group admitted by or belonging consists linearly-autonomous symmetries. Representations the coordinates corresponding infinitesimal generators, as well simplified determining given explicit form. obtained results significantly facilitate systems. Three physical illustrate point.