Boundary Value Problems
Volume 2008 (2008), Article ID 437453, 15 pages
doi:10.1155/2008/437453
Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System
Aijun Yang
and Weigao Ge
Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China
Abstract
We study the boundary value problem for a kind N-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.