Numerical Solution of the Fractional Euler-lagrange's Equations of a Thin Elastica Model
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
Green Open Access
No
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No
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Average
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Top 10%
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Top 10%
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.
Description
Asad, Jihad/0000-0002-6862-1634; Petras, Ivo/0000-0002-9250-6986
Keywords
Riemann-Liouville Derivatives, Vibration, Thin Elastica, Fractional Euler-Lagrange Equations, Grunwald-Letnikov Approach, Finite difference and finite volume methods for ordinary differential equations, thin elastica, fractional Euler-Lagrange equations, Grünwald-Letnikov approach, Riemann-Liouville derivatives, Nonlinear elasticity, Fractional ordinary differential equations, vibration, Numerical methods for initial value problems involving ordinary differential equations
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
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
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
15
Source
Nonlinear Dynamics
Volume
81
Issue
1-2
Start Page
97
End Page
102
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CrossRef : 11
Scopus : 22
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Mendeley Readers : 9
SCOPUS™ Citations
22
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Web of Science™ Citations
21
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Page Views
4
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