On the nonexistence of non-constant exact periodic solutions in a class of the Caputo fractional-order dynamical systems
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- On the nonexistence of non-constant exact periodic solutions in a class of the Caputo fractional-order dynamical systems
- 发表刊物：
- NONLINEAR DYNAMICS
- 摘要：
- 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.
- 合写作者：
- Kang Yan-Mei, Xie Yong, Lu Jin-Cheng, Jiang Jun
- 卷号：
- 82(3)
- 页面范围：
- 1259-126
- 是否译文：
- 否
- 发表时间：
- 2015-10-07