Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions

Wang, Y.; Liu, L.; Zhang, X.; Wu, Yong Hong

doi:10.1155/2014/142391

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Access Status

Open access

Authors

Wang, Y.

Liu, L.

Zhang, X.

Wu, Yong Hong

Date

2014

Type

Journal Article

Metadata

Show full item record

Citation

Wang, Y. and Liu, L. and Zhang, X. and Wu, Y.H. 2014. Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions. Abstract and Applied Analysis. 2014: Article ID 142391.

Source Title

Abstract and Applied Analysis

DOI

10.1155/2014/142391

ISSN

1085-3375

School

Department of Mathematics and Statistics

Remarks

This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/3.0/

URI

http://hdl.handle.net/20.500.11937/2813

Collection

Curtin Research Publications

Abstract

We study the positive solutions of the (n - 1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions and obtain the unique positive solution when certain additional conditions hold. An example is then given to demonstrate the validity of our main results.