Abstract and Applied Analysis

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

Ying Wang, Lishan Liu, Xinguang Zhang, and Yonghong Wu

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 142391, 14 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425049856

Digital Object Identifier
doi:10.1155/2014/142391

Mathematical Reviews number (MathSciNet)
MR3278339

Zentralblatt MATH identifier
07021801

Citation

Wang, Ying; Liu, Lishan; Zhang, Xinguang; Wu, Yonghong. Positive Solutions for $(n-1,1)$ -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions. Abstr. Appl. Anal. 2014 (2014), Article ID 142391, 14 pages. doi:10.1155/2014/142391. https://projecteuclid.org/euclid.aaa/1425049856


Export citation