|
|||||
|
|
Ultimate boundedness of impulsive fractional differential equations |
|
| Affiliation: | 1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, PR China;2. College of Science, Shanghai University for Science and Technology, Shanghai 200093, PR China;3. College of Mathematics & Computer Science, Guangxi Science & Technology Normal University, Laibin 546100, PR China |
| 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. |
| Keywords: | Caputo fractional differential equations Impulsive Mittag-Leffler function Ultimate boundedness Laplace transforms |
| 本文献已被 ScienceDirect 等数据库收录！ | |