Numerical Solution of the Fractional Euler-lagrange's Equations of a Thin Elastica Model

Asad, Jihad H.Petras, IvoBaleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2017-03-292025-09-182017-03-292025-09-182015Baleanu, 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/s11071-015-1975-70924-090X1573-269Xhttps://doi.org/10.1007/s11071-015-1975-7https://hdl.handle.net/123456789/11320Asad, Jihad/0000-0002-6862-1634; Petras, Ivo/0000-0002-9250-6986In 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.eninfo:eu-repo/semantics/closedAccessRiemann-Liouville DerivativesVibrationThin ElasticaFractional Euler-Lagrange EquationsGrunwald-Letnikov ApproachNumerical Solution of the Fractional Euler-lagrange's Equations of a Thin Elastica ModelNumerical solution of the fractional Euler-Lagrange's equations of a thin elastica modelArticle10.1007/s11071-015-1975-72-s2.0-84930760955