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    Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters

    232382_232382.pdf (436.3Kb)
    Access Status
    Open access
    Authors
    Wang, Y.
    Liu, Lishan
    Wu, Yong Hong
    Date
    2014
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Wang, Y. and Liu, L. and Wu, Y.H. 2014. Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. Advances in Difference Equations. 2014: Article ID 268.
    Source Title
    Advances in Difference Equations
    DOI
    10.1186/1687-1847-2014-268
    ISSN
    1687-1839
    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/20.500.11937/12147
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. By using the properties of the Green’s function and the Guo-Krasnosel’skii fixed point theorem, we obtain some existence results of positive solutions under some conditions concerning the nonlinear functions. The method of this paper is a unified method for establishing the existence of positive solutions for a large number of nonlinear differential equations with coupled boundary conditions. In the end, examples are given to demonstrate the validity of our main results.

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