On mixed boundary value problem of impulsive semilinear evolution equations of fractional order
1 School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, P. R. China
2 Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, P. R. China
Boundary Value Problems 2012, 2012:17 doi:10.1186/1687-2770-2012-17Published: 14 February 2012
This article studies the existence and uniqueness of solutions for impulsive semi-linear evolution equations of fractional order α ∈ (1, 2] with mixed boundary conditions. Some standard fixed point theorems are applied to prove the main results. An illustrative example is also presented.
Mathematics Subject Classification: 26A33; 34K30; 34K45.