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

Authors

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

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Published

2013-02-17

Issue

Vol. 20 No. 1 (2013)

Section

Articles

How to Cite

New existence results for nonlinear impulsive integro-differential equations of fractional order with nonlocal boundary conditions. (2013). Nonlinear Studies, 20(1). https://www.nonlinearstudies.com/index.php/nonlinear/article/view/821