Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model

DOI10.1007/s11071-015-1975-7zbMath1431.74020OpenAlexW2152204543MaRDI QIDQ327807

Dumitru Baleanu, Jihad H. Asad, Ivo Petráš

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-1975-7

zbMATH Keywords

vibrationRiemann-Liouville derivativesfractional Euler-Lagrange equationsGrünwald-Letnikov approachthin elastica

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)

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Uses Software

• ma2dfc

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