Positive Solutions for Coupled Nonlinear Fractional Differential Equations

Joint Authors

Liu, Wenning
Qi, Wei
Yan, Xingjie

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-12

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

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 K1, K2 and computing the fixed point index in product cone K1×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.

American Psychological Association (APA)

Liu, Wenning& Yan, Xingjie& Qi, Wei. 2014. Positive Solutions for Coupled Nonlinear Fractional Differential Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-498343

Modern Language Association (MLA)

Liu, Wenning…[et al.]. Positive Solutions for Coupled Nonlinear Fractional Differential Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-498343

American Medical Association (AMA)

Liu, Wenning& Yan, Xingjie& Qi, Wei. Positive Solutions for Coupled Nonlinear Fractional Differential Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-498343

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-498343