Uniqueness and existence of positive solutions for the fractional integro-differential equation

Wang, Y.; Liu, Lishan

doi:10.1186/s13661-016-0741-1

Access Status

Open access via publisher

Authors

Wang, Y.

Liu, Lishan

Date

2017

Type

Journal Article

Metadata

Show full item record

Citation

Wang, Y. and Liu, L. 2017. Uniqueness and existence of positive solutions for the fractional integro-differential equation. Boundary Value Problems. 2017 (1).

Source Title

Boundary Value Problems

DOI

10.1186/s13661-016-0741-1

ISSN

1687-2762

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52130

Collection

Curtin Research Publications

Abstract

© 2017, The Author(s).In this paper, we study the uniqueness and existence of positive solutions for the fractional integro-differential equation with the integral boundary value problem. By means of the Banach contraction principle and the Krasnoselskii fixed point theorem, the sufficient conditions on the uniqueness and existence of positive solutions are investigated. An example is given to illustrate the main results.