Existence of positive solutions for nonlocal boundary value problem of fractional differential equation

• Authors: Xiping Liu , Legang Lin , Haiqin Fang
• Languages of publication: EN

Abstracts

EN

In this paper, we study a type of nonlinear fractional differential equations multi-point boundary value problem with fractional derivative in the boundary conditions. By using the upper and lower solutions method and fixed point theorems, some results for the existence of positive solutions for the boundary value problem are established. Some examples are also given to illustrate our results.

Keywords

EN

fractional differential equation; nonlocal boundary value problem; upper and lower solutions; fixed point theorem; positive solutions

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1423-1432

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Xiping Liu

• College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

author

Legang Lin

• College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

author

Haiqin Fang

• College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

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Identifiers

DOI

10.2478/s11534-013-0238-9