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论文期刊

论文标题    On the nonexistence of non-constant exact periodic solutions in a class of the Caputo fractional-order dynamical systems
作者    Kang Yan-Mei, Xie Yong, Lu Jin-Cheng, Jiang Jun
发表/完成日期    2015-10-07
期刊名称    NONLINEAR DYNAMICS
期卷    82(3)
相关文章   
论文简介    Using Fourier analysis as tool, we prove that the Caputo fractional-order derivative of the nonconstant periodic function cannot be periodic, and thus we confirm the nonexistence of the non-constant exact periodic solutions in a class of the Caputo fractionalorder initial-valued dynamical systems (including the autonomous case) from a different viewpoint. We also demonstrate with theoretical discussion and numerical examples that the non-constant long-time periodic solution might exist in the Caputo fractional-order systems. The investigation clarifies the difference and similarity of the periodic solutions between the Caputo fractional-order dynamical systems and the integerorder dynamical systems in a systematic way.
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