Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line
Loading...
Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer/plenum Publishers
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
A discontinuous media can be described by fractal dimensions. Fractal objects has special geometric properties, which are discrete and discontinuous structure. A fractal-time diffusion equation is a model for subdiffusive. In this work, we have generalized the Hamiltonian and Lagrangian dynamics on fractal using the fractional local derivative, so one can use as a new mathematical model for the motion in the fractal media. More, Poisson bracket on fractal subset of real line is suggested.
Description
Khalili Golmankhaneh, Alireza/0000-0003-1529-7807; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; , Alireza/0000-0002-3490-7976
Keywords
Fractal Calculus, Lagrangian Mechanics, Hamiltonian Mechanics, Poisson Bracket, Variational Calculus, Hamilton's equations, Poisson bracket, Fractals, Fractional derivatives and integrals, Hamiltonian mechanics, fractal calculus, Lagrangian mechanics, Lagrange's equations, variational calculus
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line
By:Golmankhaneh, AK (Golmankhaneh, Alireza Khalili)[ 1 ] ; Golmankhaneh, AK (Golmankhaneh, Ali Khalili)[ 1 ] ; Baleanu, D (Baleanu, Dumitru)[ 4,2,3 ]
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
16
Source
International Journal of Theoretical Physics
Volume
52
Issue
11
Start Page
4210
End Page
4217
PlumX Metrics
Citations
CrossRef : 12
Scopus : 25
Captures
Mendeley Readers : 4
Google Scholar™
