%0 Journal Article
%T Analogues to Lie Method and Noether¡¯s Theorem in Fractal Calculus
%A Alireza Khalili Golmankhaneh
%A Cemil Tun£¿
%J -
%D 2019
%R https://doi.org/10.3390/fractalfract3020025
%X Abstract In this manuscript, we study symmetries of fractal differential equations. We show that using symmetry properties, one of the solutions can map to another solution. We obtain canonical coordinate systems for differential equations on fractal sets, which makes them simpler to solve. An analogue for Noether¡¯s Theorem on fractal sets is given, and a corresponding conservative quantity is suggested. Several examples are solved to illustrate the results. View Full-Tex
%K staircase function
%K local fractal derivatives
%K fractal Lie symmetry
%K fractal Noether¡¯s theorem
%K fractal Lie method
%U https://www.mdpi.com/2504-3110/3/2/25