caa a22 4500 445360321 CHVBK 20180317142913.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s11071-010-9867-3 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9867-3 Fractional almost Kähler-Lagrange geometry [Elektronische Daten] [Dumitru Baleanu, Sergiu Vacaru] The goal of this paper is to encode equivalently the fractional Lagrange dynamics as a nonholonomic almost Kähler geometry. We use the fractional Caputo derivative generalized for nontrivial nonlinear connections (N-connections) originally introduced in Finsler geometry, with further developments in Lagrange and Hamilton geometry. For fundamental geometric objects induced canonically by regular Lagrange functions, we construct compatible almost symplectic forms and linear connections completely determined by a "prime” Lagrange (in particular, Finsler) generating function. We emphasize the importance of such constructions for deformation quantization of fractional Lagrange geometries and applications in modern physics. Springer Science+Business Media B.V., 2010 Fractional derivatives and integrals nationallicence Fractional Lagrange mechanics nationallicence Nonlinear connections nationallicence Almost Kähler geometry nationallicence Baleanu Dumitru Department of Mathematics and Computer Sciences, Çankaya University, 06530, Ankara, Turkey aut Vacaru Sergiu Science Department, University "Al. I. Cuza” Iaşi, 54, Lascar Catargi street, 700107, Iaşi, Romania aut Nonlinear Dynamics Springer Netherlands 64/4(2011-06-01), 365-373 0924-090X 64:4<365 2011 64 11071 https://doi.org/10.1007/s11071-010-9867-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9867-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Baleanu Dumitru Department of Mathematics and Computer Sciences, Çankaya University, 06530, Ankara, Turkey aut NATIONALLICENCE 700 1- Vacaru Sergiu Science Department, University "Al. I. Cuza” Iaşi, 54, Lascar Catargi street, 700107, Iaşi, Romania aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/4(2011-06-01), 365-373 0924-090X 64:4<365 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer