Hamilton-Jacobi Formulation for Systems in Terms of Riesz's Fractional Derivatives
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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
Springer/plenum Publishers
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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Impulse
Average
Influence
Top 10%
Popularity
Top 10%
Abstract
The paper presents fractional Hamilton-Jacobi formulations for systems containing Riesz fractional derivatives (RFD's). The Hamilton-Jacobi equations of motion are obtained. An illustrative example for simple harmonic oscillator (SHO) has been discussed. It was observed that the classical results are recovered for integer order derivatives.
Description
Keywords
Fractional Calculus Of Variation, Lagrangian Formulation, Hamiltonian Formulation, Hamilton-Jacobi Formulation And Riesz Fractional Derivatives, Hamilton-Jacobi formulation, Fractional derivatives and integrals, Lagrangian formulation, Hamiltonian formulation, Fractional partial differential equations, fractional calculus of variation, Riesz fractional derivatives
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Rabei, E.M...et al. (2011). Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives. International Journal of Theoretical Physics, 50(5), 1569-1576. http://dx.doi.org/10.1007/s10773-011-0668-3
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
13
Source
International Journal of Theoretical Physics
Volume
50
Issue
5
Start Page
1569
End Page
1576
PlumX Metrics
Citations
CrossRef : 7
Scopus : 19
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Mendeley Readers : 6
SCOPUS™ Citations
19
checked on Feb 23, 2026
Web of Science™ Citations
13
checked on Feb 23, 2026
Page Views
3
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