About fractional quantization and fractional variational principles

Baleanu, DumitruBaleanu, DumitruMatematik2022-03-092022-03-092009Baleanu, Dumitru (2009). "About fractional quantization and fractional variational principles", Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 6, pp. 2520-2523.1007-5704https://hdl.handle.net/20.500.12416/5096in this paper, a new method of finding the fractional Euler-Lagrange equations within Caputo derivative is proposed by making use of the fractional generalization of the classical Fad di Bruno formula. The fractional Euler-Lagrange and the fractional Hamilton equations are obtained within the 1 + 1 field formalism. One illustrative example is analyzed. (C) 2008 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional Variational PrinciplesFractional SystemsInfinite-Dimensional SystemsHamiltonian SystemsAbout fractional quantization and fractional variational principlesAbout Fractional Quantization and Fractional Variational PrinciplesArticle1462520252310.1016/j.cnsns.2008.10.002