A New Method of Finding the Fractional Euler-Lagrange and Hamilton Equations Within Caputo Fractional Derivatives
Loading...
Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
Yes
OpenAIRE Downloads
4
OpenAIRE Views
3
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 10%
Popularity
Top 10%
Abstract
In this paper, we have investigated the fractional Caputo derivative of a composition function. The obtained results were applied to investigate the fractional Euler-Lagrange and Hamilton equations for constrained systems. The approach was applied within an illustrative. (C) 2009 Elsevier B.V. All rights reserved.
Description
Trujillo, Juan J./0000-0001-8700-6410
ORCID
Keywords
Fractional Lagrangians, Fractional Calculus, Fractional Caputo Derivative, Fractional Euler-Lagrange Equations, Faa Di Bruno Formula, Integro-ordinary differential equations, fractional Euler, Fractional derivatives and integrals, fractional Lagrangians, fractional Caputo derivative, Lagrange equations, Fractional ordinary differential equations, fractional calculus, Lagrange's equations, Faà di Bruno formula
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Baleanu, D., Trujillo, J.I. (2010). A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Communications In Nonlinear Science And Numerical Simulation, 15(5), 1111-1115. http://dx.doi.org/10.1016/j.cnsns.2009.05.023
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
83
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
15
Issue
5
Start Page
1111
End Page
1115
PlumX Metrics
Citations
CrossRef : 52
Scopus : 111
Captures
Mendeley Readers : 23
SCOPUS™ Citations
117
checked on Feb 25, 2026
Web of Science™ Citations
92
checked on Feb 25, 2026
Page Views
3
checked on Feb 25, 2026
Google Scholar™
