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

    Access Status
    Fulltext not available
    Authors
    Guo, L.
    Liu, L.
    Wu, Yong Hong
    Date
    2016
    Type
    Journal Article
    
    Metadata
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    Citation
    Guo, L. and Liu, L. and Wu, Y.H. 2016. Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions. Nonlinear Analysis: Modelling and Control. 21 (5): pp. 635-650.
    Source Title
    Nonlinear Analysis: Modelling and Control
    DOI
    10.15388/NA.2016.5.5
    ISSN
    1392-5113
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/19211
    Collection
    • Curtin Research Publications
    Abstract

    © Vilnius University, 2016.In this paper, we investigate the existence of at least three positive solutions to a singular boundary value problem of Caputo’s fractional differential equations with a boundary condition involving values at infinite number of points. Firstly, we establish Green’s function and its properties. Then the existence of multiple positive solutions is obtained by Avery-Peterson’s fixed point theorem. Finally, an example is given to demonstrate the application of our main results.

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