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

    241462_142462.pdf (1.656Mb)
    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.

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