Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model
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Date
2015
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Springer
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Abstract
In this manuscript, we investigated the fractional thin elastic system. We studied the obtained fractional Euler-Lagrange's equations of the system numerically. The numerical study is based on Grunwald-Letnikov approach, which is power series expansion of the generating function. We present an illustrative example of the proposed numerical model of the system.
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Keywords
Riemann-Liouville Derivatives, Vibration, Thin Elastica, Fractional Euler-Lagrange Equations, Grunwald-Letnikov Approach
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Baleanu, D., Asad, J.H., Petras, I. (2015). Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model. Nonlinear Dynamics, 81(1-2), 97-102. http://dx.doi.org/10.1007/s11071-015-1975-7
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Source
Nonlinear Dynamics
Volume
81
Issue
1-2
Start Page
97
End Page
102