Mei Symmetry of Time-Scales Euler-Lagrange Equations and Its Relation to Noether Symmetry
نویسندگان
چکیده
منابع مشابه
On reflection symmetry and its application to the Euler-Lagrange equations in fractional mechanics.
We study the properties of fractional differentiation with respect to the reflection symmetry in a finite interval. The representation and integration formulae are derived for symmetric and anti-symmetric fractional derivatives, both of the Riemann-Liouville and Caputo type. The action dependent on the left-sided Caputo derivatives of orders in the range (1,2) is considered and we derive the Eu...
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15 صفحه اولEuler-lagrange Equations
. Consider a mechanical system consisting of N particles in R subject to some forces. Let xi ∈ R denote the position vector of the ith particle. Then all possible positions of the system are described by N -tuples (x1, . . . , xN ) ∈ (R) . The space (R) is an example of a configuration space. The time evolution of the system is described by a curve (x1(t), . . . , xN (t)) in (R) and is governed...
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ژورنال
عنوان ژورنال: Acta Physica Polonica A
سال: 2019
ISSN: 1898-794X,0587-4246
DOI: 10.12693/aphyspola.136.439