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Open Access Research

Periodic BVPs for fractional order impulsive evolution equations

Xiulan Yu1 and JinRong Wang23*

Author Affiliations

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

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Boundary Value Problems 2014, 2014:35  doi:10.1186/1687-2770-2014-35

Published: 7 February 2014

Abstract

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.

Keywords:
fractional order; impulsive evolution equations; periodic BVPs