Positive solutions for a coupled system of nonlinear fractional differential equations

2014 ◽  
Vol 38 (8) ◽  
pp. 1662-1672 ◽  
Author(s):  
Keyu Zhang ◽  
Jiafa Xu ◽  
Donal O'Regan
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Coupled System ◽  
Nonlinear Fractional Differential Equations ◽  
Fractional Differential

scholarly journals Positive Solutions for Coupled Nonlinear Fractional Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Wenning Liu ◽  
Xingjie Yan ◽  
Wei Qi
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Fixed Point Index ◽  
Cartesian Product ◽  
Coupled System ◽  
Integral Boundary ◽  
Nonlinear Fractional Differential Equations ◽  
Existence Of Positive Solutions ◽  
Fractional Differential

We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation. By constructing two conesK1,K2and computing the fixed point index in product coneK1×K2, we obtain that the system has a pair of positive solutions. It is remarkable that it is established on the Cartesian product of two cones, in which the feature of two equations can be opposite.

Sign in / Sign up

Export Citation Format

Share Document