Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions

Authors:
Guotao Wang;Bashir Ahmad;Lihong Zhang
Affiliations:
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
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

This paper investigates the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order @a@?(1,2]. Our results are based on some standard fixed point theorems. Some examples are presented to illustrate the main results.