Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707377 | Applied Mathematics Letters | 2016 | 8 Pages |
Abstract
This article investigates nonlinear impulsive Caputo fractional differential equations. Utilizing Lyapunov functions, Laplace transforms of fractional derivatives and boundedness of Mittag-Leffler functions, several sufficient conditions are derived to ensure the global ultimate boundedness and the exponential stability of the systems. An example is given to explain the obtained results.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Liguang Xu, Hongxiao Hu, Fajin Qin,