Nonlocal fractional order differential equations with changing-sign singular perturbation

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 th...

Full description

Bibliographic Details
Main Authors: Zhang, Xinguang, Wu, Yong Hong, Caccetta, Louis
Format: Journal Article
Published: Elsevier Inc. 2013
Online Access:http://hdl.handle.net/20.500.11937/32041
Description
Summary: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.