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

Abstract On the basis of some crucial properties for one-parameter and two-parameter Mittag-Leffler 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.