刘松^*

（  安徽大学数学科学学院，合肥 230601；  ）

摘要： 本文研究Caputo和 Riemann-Liouville导数意义下分数阶非线性中立型方程的渐近稳定性。基于拉普拉斯变换和李雅谱诺夫直接法，给出了方程渐近稳定的几个充分条件。本文提出的方法还适用于分数阶时滞方程和整数阶中立性方程。最后，给出两个例子说明所获得的结果的有效性。
关键词： 分数阶中立型方程；渐近稳定性；拉普拉斯变换

Liu Song^*

（  School of Mathematical Sciences, Anhui University, Hefei 230601，China；  ）

Abstract： This paper deals with asymptotical stability of fractional nonlinear neutral equations under Caputo and Riemann-Liouville derivatives. Based on Laplace transform, several sufficient conditions are derived by extending Lyapunov direct method to such systems. The proposed method can also be applied to general fractional delay equations and integer-order neutral differential systems. A simple example is given to show the effectiveness of our obtained results.

Tag：

点此返回栏目查看更多>>>参考论文