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    Positive solutions of fractional differential equation nonlocal boundary value problems

    Access Status
    Open access via publisher
    Authors
    Tan, J.
    Cheng, C.
    Zhang, Xinguang
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Tan, J. and Cheng, C. and Zhang, X. 2015. Positive solutions of fractional differential equation nonlocal boundary value problems. Advances in Difference Equations. 2015 (1).
    Source Title
    Advances in Difference Equations
    DOI
    10.1186/s13662-015-0582-8
    ISSN
    1687-1839
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/22955
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we study the existence and uniqueness of positive solutions for a class of higher-order nonlocal fractional differential equations with Riemann-Stieltjes integral boundary conditions. We firstly convert the problem to an equivalent integral equation, and then by applying a fixed point theorem of a sum operator, the existence and uniqueness of positive solutions is established. Furthermore, an iterative scheme to approximate the solution is constructed and an example is given to illuminate the application of the main results.

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