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Ultimate boundedness of impulsive fractional differential equations

2016; Elsevier BV; Volume: 62; Linguagem: Inglês

10.1016/j.aml.2016.06.011

1873-5452

Liguang Xu, Hongxiao Hu, Qin Fa-jin,

Stability and Controllability of Differential Equations

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.