Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions

Guo, L.; Liu, Lishan; Wu, Yong Hong

doi:10.1186/s13661-016-0621-8

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Access Status

Open access

Authors

Guo, L.

Liu, Lishan

Wu, Yong Hong

Date

2016

Type

Journal Article

Metadata

Show full item record

Citation

Guo, L. and Liu, L. and Wu, Y.H. 2016. Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions. Boundary Value Problems. 2016 (114): pp. 1-22.

Source Title

Boundary Value Problems

DOI

10.1186/s13661-016-0621-8

ISSN

1687-2762

School

Department of Mathematics and Statistics

Remarks

This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/

URI

http://hdl.handle.net/20.500.11937/17584

Collection

Curtin Research Publications

Abstract

In this paper, we consider a class of singular fractional differential equations with infinite-point boundary conditions. The fractional orders are involved in the nonlinearity of the boundary value problem, and the nonlinearity is allowed to be singular with respect to not only the time variable but also to the space variable. Firstly, we give Green’s function and establish its properties. Then, we utilize the sequential technique and regularization to investigate the existence of positive solutions. Finally, we give an example of application of our result.