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

Baleanu, DumitruAsad, Jihad H.Petras, Ivo2017-03-292017-03-292015Baleanu, 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/s11071-015-1975-70924-090Xhttp://hdl.handle.net/20.500.12416/1509In 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 ModelArticle811-29710210.1007/s11071-015-1975-7