About Fractional Quantization and Fractional Variational Principles

Baleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-04-022025-09-182020-04-022025-09-182009Baleanu; Dumitru, "About fractional quantization and fractional variational principles", Communications In Nonlinear Science And Numerical Simulation, Vol.14, No.6, pp.2520-2523, (2009).1007-57041878-7274https://doi.org/10.1016/j.cnsns.2008.10.002https://hdl.handle.net/123456789/12473in 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 principlesArticle10.1016/j.cnsns.2008.10.0022-s2.0-58749115373