Boundary Value Problems
Volume 2008 (2008), Article ID 437453, 15 pages
Positive Solutions for Boundary Value Problems of -Dimension Nonlinear Fractional Differential System
Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China
Received 27 October 2008; Accepted 18 December 2008
Academic Editor: Zhitao Zhang
Copyright © 2008 Aijun Yang and Weigao Ge. 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.
We study the boundary value problem for a kind -dimension nonlinear fractional differential system with the nonlinear terms involved in the fractional derivative explicitly. The fractional differential operator here is the standard Riemann-Liouville differentiation. By means of fixed point theorems, the existence and multiplicity results of positive solutions are received. Furthermore, two examples given here illustrate that the results are almost sharp.