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《理论物理通讯(英文版)》 2014-02
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Fractional Bateman–Feshbach Tikochinsky Oscillator

Dumitru Baleanu;Jihad H.Asad;Ivo Petras;Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University;Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Cankaya University;Institute of Space Sciences;Department of Physics, College of Arts and Sciences, Palestine Technical University;BERG Faculty, Technical University of Kosice;  
In the last few years the numerical methods for solving the fractional differential equations started to be applied intensively to real world phenomena. Having these thinks in mind in this manuscript we focus on the fractional Lagrangian and Hamiltonian of the complex Bateman–Feshbach Tikochinsky oscillator. The numerical analysis of the corresponding fractional Euler-Lagrange equations is given within the Grünwald–Letnikov approach, which is power series expansion of the generating function.
【Fund】: Supported in part by the Slovak Grant Agency for Science under Grants VEGA:1/0497/11 1/0746/11 1/0729/12;; the Slovak Research and Development Agency under Grant No.APVV-0482-11
【CateGory Index】: TN752
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【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 LI Xiao-Yan;LIU Song;JIANG Wei;School of Mathematical Sciences,Anhui University;;Initial Value Problem of a Class of Fractional Difference Equations[J];Chinese Journal of Engineering Mathematics;2013-06
2 GU Chuan-yun;HU Pan;Mathematics and Finance-Economics Department of Sichuan University of Arts and Science;;The Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation Boundary Value Problem[J];Sichuan University of Arts and Science Journal;2014-02
3 GU Chuan-yun;School of Mathematics and Finance-Economics,Sichuan University of Arts and Science;;Existence & Uniqueness of Positive Solution to A Class of Nonlinear Fractional Differential Equation Boundary Value Problems[J];Journal of Mianyang Normal University;2014-02
4 Ricardo Almeida 1 Rui A.C.Ferreira 1,2 Delfim F.M.Torres 1 1.Center for Research and Development in Mathematics and Applications,Department of Mathematics,University of Aveiro,3810-193 Aveiro,Portugal 2.Department of Mathematics,Faculty of Engineering and Natural Sciences,Lusophone University of Humanities and Technologies,1749-024 Lisbon,Portugal;ISOPERIMETRIC PROBLEMS OF THE CALCULUS OF VARIATIONS WITH FRACTIONAL DERIVATIVES[J];数学物理学报(英文版);2012-02
5 ZHANG Yi;College of Civil Engineering,SUST;;Fractional Hamiltonian mechanics and fractional canonical transformations in terms of a combined Caputo derivative[J];Journal of Suzhou University of Science and Technology (Natural Science Edition);2014-01
6 Zhang Yi College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China;Fractional differential equations of motion in terms of combined Riemann-Liouville derivatives[J];中国物理B;2012-08
7 ZHANG Yi(College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215009,China);Noether Symmetry and Conserved Quantity for a Fractional Action-like Variational Problem in Phase Space[J];Acta Scientiarum Naturalium Universitatis Sunyatseni;2013-04
8 GUO Jian;LI Chang-pin;DING Heng-fei;College of Sciences,Shanghai University;;Finite difference methods for time subdiffusion equation with space fourth-order[J];Communication on Applied Mathematics and Computation;2014-01
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