New existence results for nonlinear impulsive integro-differential equations of fractional order with nonlocal boundary conditions

  • Guotao Wang School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People's Republic of China
  • Bashir Ahmad Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
  • Lihong Zhang School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People's Republic of China

Abstract

This paper studies the existence and uniqueness of solutions for a nonlocal boundary value problem of impulsive nonlinear integro-differential equations of fractional order. Some standard fixed point theorems are applied to obtain some new existence results. An illustrative example is also presented.
Published
2013-02-17
Section
Articles