Journal of Applied Mathematics

Positive Solutions for Coupled Nonlinear Fractional Differential Equations

Wenning Liu, Xingjie Yan, and Wei Qi

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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 × 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

Permanent link to this document
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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