Fractional-Order Euler-Lagrange Equations and Formulation of Hamiltonian Equations
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
This paper presents the fractional order Euler-Lagrange equations and the transversality conditions for fractional variational problems with fractional integral and fractional derivatives defined in the sense of Caputo and Riemann-Liouville. A fractional Hamiltonian formulation was developed and some illustrative examples were treated in detail.
Description
Herzallah, Mohamed/0000-0003-3514-3709
ORCID
Keywords
Fractional Integral, Fractional Derivative, Fractional Calculus Of Variations, Fractional Hamiltonian Equations, Hamilton's equations, fractional calculus of variations, fractional integral, Fractional derivatives and integrals, fractional Hamiltonian equations, fractional derivative
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Herzzallah, M.A.E., Baleanu, D. (2009). Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations. Nonlinear Dynamics, 58(1-2), 385-391. http://dx.doi.org/10.1007/s11071-009-9486-z
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
68
Source
Nonlinear Dynamics
Volume
58
Issue
1-2
Start Page
385
End Page
391
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Citations
CrossRef : 45
Scopus : 76
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Mendeley Readers : 22
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