A New Method of Finding the Fractional Euler-Lagrange and Hamilton Equations Within Caputo Fractional Derivatives

Trujillo, Juan I.Baleanu, Dumitru2016-06-072025-09-182016-06-072025-09-182010Baleanu, D., Trujillo, J.I. (2010). A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Communications In Nonlinear Science And Numerical Simulation, 15(5), 1111-1115. http://dx.doi.org/10.1016/j.cnsns.2009.05.0231007-57041878-7274https://doi.org/10.1016/j.cnsns.2009.05.023https://hdl.handle.net/20.500.12416/13077Trujillo, Juan J./0000-0001-8700-6410In this paper, we have investigated the fractional Caputo derivative of a composition function. The obtained results were applied to investigate the fractional Euler-Lagrange and Hamilton equations for constrained systems. The approach was applied within an illustrative. (C) 2009 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional LagrangiansFractional CalculusFractional Caputo DerivativeFractional Euler-Lagrange EquationsFaa Di Bruno FormulaA New Method of Finding the Fractional Euler-Lagrange and Hamilton Equations Within Caputo Fractional DerivativesA new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivativesArticle10.1016/j.cnsns.2009.05.0232-s2.0-70449529531