Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System

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...

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Bibliographic Details
Format: Article
Language:English
Published: SpringerOpen 2009-03-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2008/437453
Description
Summary: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.
ISSN:1687-2762
1687-2770