Periodic motion for impulsive fractional functional differential equations with piecewise Caputo derivative

摘要

On the basis of some crucial properties for one-parameter and two-parameter Mittag-Leffier functions, the existence, uniqueness and global exponential stability of periodic solution are discussed for a class of semilinear impulsive fractional functional differential equations with piecewise Caputo derivative. Some better result is achieved and it improves and extends some existing research finding. (C) 2019 Elsevier Ltd. All rights reserved.