Golmankhaneh, Alireza KhaliliTunc, Cemil2025-05-102025-05-1020192504-311010.3390/fractalfract30200252-s2.0-85086880034https://doi.org/10.3390/fractalfract3020025https://hdl.handle.net/20.500.14720/13692Tunc, Cemil/0000-0003-2909-8753; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163In 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.eninfo:eu-repo/semantics/openAccessStaircase FunctionLocal Fractal DerivativesFractal Lie SymmetryFractal Noether'S TheoremFractal Lie MethodArticle32Q1Q1WOS:000474245900012