Nonlocal fractional order differential equations with changing-sign singular perturbation

Zhang, Xinguang; Wu, Yong Hong; Caccetta, Louis

doi:10.1016/j.apm.2015.02.005

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Authors

Zhang, Xinguang

Wu, Yong Hong

Caccetta, Louis

Date

2013

Type

Journal Article

Metadata

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Citation

Zhang, X. and Wu, Y.H. and Caccetta, L. 2013. Nonlocal fractional order differential equations with changing-sign singular perturbation. Applied Mathematical Modelling. 39 (21): pp. 6543-6552.

Source Title

Applied Mathematical Modelling

DOI

10.1016/j.apm.2015.02.005

ISSN

0307-904X

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/32041

Collection

Curtin Research Publications

Abstract

In this paper, we study the existence of positive solutions for a class of nonlocal fractional order differential equations with changing-sign singular perturbation. By means of Schauder’s fixed point theorem, the conditions for the existence of positive solutions are established respectively for the cases where the nonlinearity is positive, negative and semipositone.