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《Acta Scientiarum Naturalium Universitatis Sunyatseni》 2013-04
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Noether Symmetry and Conserved Quantity for a Fractional Action-like Variational Problem in Phase Space

ZHANG Yi(College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215009,China)  
The Noether symmetry and the conserved quantity for a fractional action-like variational problem in phase space are studied based on the method of fractional dynamics modeling presented by ElNabulsi,namely fractional action-like variational approach.First,the fractional action-like variational problem in phase space is established,and the fractional action-like Hamilton canonical equations are obtained.Secondly,the definitions and criteria of the fractional action-like Noether(quasi-) symmetrical transformations are presented in terms of the invariance of the fractional action-like integral of Hamilton under the infinitesimal transformation of group.Finally,the Noether theorems for the fractional actionlike Hamiltonian system are given,the relationship between the Noether symmetry and the conserved quantity of the system is established.An example is given to illustrate the application of the results.
【Fund】: 国家自然科学基金资助项目(10972151 11272227)
【CateGory Index】: O316
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【Co-citations】
Chinese Journal Full-text Database 4 Hits
1 Thabet Abdeljawad MARAABA1, Fahd JARAD1& Dumitru BALEANU1,2 1 Department of Mathematics and Computer Sciences, ankaya University, 06530, Ankara, Turkey; 2 On leave of absence from Institute of Space Sciences, P.O.BOX, MG-23, R 76900 Magurele, Romania;On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives[J];中国科学(A辑:数学)(英文版);2008-10
2 YANG Xiaojun1 GAO Feng1 ZHONG Weiping1 XU Congcong2 (1.Department of Mathematics and Mechanics,College of Science,China University of Mining &Technology,Xuzhou 221008;2.Department of Mathematics,College of Science,China University of Mining & Technology,Xuzhou 221008);Fractional Definite Integral[J];World Sci-Tech R & D;2008-05
3 GU Jia-lei,XIA Tie-cheng (College of Sciences,Shanghai University,Shanghai 200444,China);Handling the fractional Boussinesq-like equation by fractional variational iteration method[J];Communication on Applied Mathematics and Computation;2011-01
4 GUO Caixia;GUO Jianmin;KANG Shugui;LI Huapeng;School of Mathematics and Computer Sciences,Shanxi Datong University;;On a Caputo fractional boundary value problem for fractional boundary conditions[J];Journal of Yanbian University(Natural Science Edition);2013-03
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