Fractional Constrained Systems and Caputo DerivativesSource: Journal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 002::page 21102Author:Dumitru Baleanu
DOI: 10.1115/1.2833586Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: During the last few years, remarkable developments have been made in the theory of the fractional variational principles and their applications to control problems and fractional quantization issue. The variational principles have been used in physics to construct the phase space of a fractional dynamical system. Based on the Caputo derivatives, the fractional dynamics of discrete constrained systems is presented and the notion of the reduced phase space is discussed. Two examples of discrete constrained system are analyzed in detail.
keyword(s): Phase space , Variational principles , Dynamic systems , Dynamics (Mechanics) , Equations , Equipment and tools , Discrete systems , Physics , Momentum AND Functions ,
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| contributor author | Dumitru Baleanu | |
| date accessioned | 2017-05-09T00:27:10Z | |
| date available | 2017-05-09T00:27:10Z | |
| date copyright | January, 2008 | |
| date issued | 2008 | |
| identifier issn | 1555-1415 | |
| identifier other | JCNDDM-24916#021102_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/137554 | |
| description abstract | During the last few years, remarkable developments have been made in the theory of the fractional variational principles and their applications to control problems and fractional quantization issue. The variational principles have been used in physics to construct the phase space of a fractional dynamical system. Based on the Caputo derivatives, the fractional dynamics of discrete constrained systems is presented and the notion of the reduced phase space is discussed. Two examples of discrete constrained system are analyzed in detail. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Fractional Constrained Systems and Caputo Derivatives | |
| type | Journal Paper | |
| journal volume | 3 | |
| journal issue | 2 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.2833586 | |
| journal fristpage | 21102 | |
| identifier eissn | 1555-1423 | |
| keywords | Phase space | |
| keywords | Variational principles | |
| keywords | Dynamic systems | |
| keywords | Dynamics (Mechanics) | |
| keywords | Equations | |
| keywords | Equipment and tools | |
| keywords | Discrete systems | |
| keywords | Physics | |
| keywords | Momentum AND Functions | |
| tree | Journal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 002 | |
| contenttype | Fulltext |