New Applications of Fractional Variational Principles
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Abstract
In this paper the fractional variational principles of constrained systems involving Riesz derivatives are discussed and one example is analyzed in detail. The fractional Euler-Lagrange equations of two fractional Lagrangians which differ by a fractional Riesz derivative are investigated.
Description
Keywords
Fractional Lagrangian And Hamiltonian, Riesz Derivatives, Dissipative Systems, Hamilton's equations, Fractional derivatives and integrals, fractional Lagrangian and Hamiltonian, dissipative systems, Riesz derivatives, Variational principles in infinite-dimensional spaces, Lagrange's equations
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Baleanu, D. (2008). New applications of fractional variational principles. Reports On Mathematical Physics, 61(2), 199-206. http://dx.doi.org/10.1016/S0034-4877(08)80007-9
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OpenCitations Citation Count
51
Volume
61
Issue
2
Start Page
199
End Page
206
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CrossRef : 33
Scopus : 60
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60
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3
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