Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems-Reference-Cited by-同舟云学术

Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems

Published:2018-07-18 Issue: Volume:2018 Page:1-11
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Chen Cheng¹,Xu Jiafa¹^ORCID,O’Regan Donal²,Fu Zhengqing³^ORCID

Affiliation:

1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 40133, China

2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

3. College of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, China

Abstract

Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2018/6835028.pdf

Reference46 articles.

1. Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection

2. Positive solutions for a coupled system of nonlinear fractional differential equations

3. Systems of semipositone discrete fractional boundary value problems