Analogues to Lie Method and Noether’s Theorem in Fractal Calculus

Autor: Alireza Khalili Golmankhaneh, Cemil Tunç
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Fractal and Fractional, Vol 3, Iss 2, p 25 (2019)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract3020025
Popis: 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.
Databáze: Directory of Open Access Journals