Positive solutions for nonlinear fractional semipositone differential equation with nonlocal boundary conditions

Hao, X.; Liu, Lishan; Wu, Yong Hong

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Authors

Hao, X.

Liu, Lishan

Wu, Yong Hong

Date

2016

Type

Journal Article

Metadata

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Citation

Hao, X. and Liu, L. and Wu, Y.H. 2016. Positive solutions for nonlinear fractional semipositone differential equation with nonlocal boundary conditions. Journal of Nonlinear Science and Applications. 9 (6): pp. 3992-4002.

Source Title

Journal of Nonlinear Science and Applications

ISSN

2008-1898

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52501

Collection

Curtin Research Publications

Abstract

© 2016 All rights reserved.In this paper, we study the existence of positive solutions to the nonlinear fractional order singular andsemipositone nonlocal boundary value problem (Formula Presented.) by using the Leray-Schauder nonlinear alternative and a fixed-point theorem on cones, where (Formula Presented.) is the standard Riemann-Liouville derivative, and f(t, u) is semipositone and may be singular at u = 0.