Periodic BVPs for fractional order impulsive evolution equations
1 College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, Shanxi, 030031, P.R. China
2 Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, P.R. China
3 School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou, 550018, P.R. China
Boundary Value Problems 2014, 2014:35 doi:10.1186/1687-2770-2014-35Published: 7 February 2014
In this paper, we study periodic BVPs for fractional order impulsive evolution equations. The existence and boundedness of piecewise continuous mild solutions and design parameter drift for periodic motion of linear problems are presented. Furthermore, existence results of piecewise continuous mild solutions for semilinear impulsive periodic problems are showed. Finally, an example is given to illustrate the results.
MSC: 34B05, 34G10, 47D06.