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    Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations

    Access Status
    Open access via publisher
    Authors
    Wang, Y.
    Liu, Lishan
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Wang, Y. and Liu, L. 2015. Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations. Advances in Difference Equations. 2015 (1).
    Source Title
    Advances in Difference Equations
    DOI
    10.1186/s13662-015-0540-5
    ISSN
    1687-1839
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52101
    Collection
    • Curtin Research Publications
    Abstract

    © 2015, Wang and Liu.In this paper, we discuss the existence of positive solution to singular fractional differential equations involving Caputo fractional derivative. Necessary and sufficient condition for the existence of C<sup>2</sup>[0,1] positive solution is obtained by means of the fixed point theorems on cones. In addition, the uniqueness results and the iterative sequences of the solution are also given.

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