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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 432509, 6 pages
Research Article

Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation

Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, China

Received 4 July 2013; Accepted 9 September 2013

Academic Editor: Chuanzhi Bai

Copyright © 2013 Taiyong Chen and Wenbin Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper considers the existence of solutions for two boundary value problems for fractional -Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. As an application, an example to illustrate our results is given.