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- Title
Further Research for Lagrangian Mechanics within Generalized Fractional Operators.
- Authors
Song, Chuanjing
- Abstract
In this article, the problems of the fractional calculus of variations are discussed based on generalized fractional operators, and the corresponding Lagrange equations are established. Then, the Noether symmetry method and the perturbation to Noether symmetry are analyzed in order to find the integrals of the equations. As a result, the conserved quantities and the adiabatic invariants are obtained. Due to the universality of the generalized fractional operators, the results achieved here can be used to solve other specific problems. Several examples are given to illustrate the universality of the methods and results.
- Subjects
LAGRANGE equations; FRACTIONAL calculus; CONSERVED quantity; LAGRANGIAN mechanics; INTEGRAL equations; SYMMETRY
- Publication
Fractal & Fractional, 2023, Vol 7, Issue 6, p421
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract7060421