## Journal of Applied Mathematics

### Positive Solutions for Coupled Nonlinear Fractional Differential Equations

#### Abstract

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 cones ${K}_{1}$, ${K}_{2}$ and computing the fixed point index in product cone ${K}_{1}{\times}{K}_{2}$, 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.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 790862, 7 pages.

Dates
First available in Project Euclid: 2 March 2015

https://projecteuclid.org/euclid.jam/1425305756

Digital Object Identifier
doi:10.1155/2014/790862

Mathematical Reviews number (MathSciNet)
MR3212514

#### Citation

Liu, Wenning; Yan, Xingjie; Qi, Wei. Positive Solutions for Coupled Nonlinear Fractional Differential Equations. J. Appl. Math. 2014 (2014), Article ID 790862, 7 pages. doi:10.1155/2014/790862. https://projecteuclid.org/euclid.jam/1425305756

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