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    Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation

    Access Status
    Fulltext not available
    Authors
    He, J.
    Zhang, Xinguang
    Wu, Yong Hong
    Date
    2016
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    He, J. and Zhang, X. and Wu, Y.H. 2016. Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation. Journal of Nonlinear Science and Applications. 9 (5): pp. 2076-2085.
    Source Title
    Journal of Nonlinear Science and Applications
    Additional URLs
    http://www.tjnsa.com/includes/files/articles/Vol9_Iss5_2076--2085_Existence_of_positive_solution_for.pdf
    ISSN
    2008-1898
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/26792
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we study a class of singular fractional order differential system with a changing-sign perturbation which arises from fiuid dynamics, biological models, electrical networks with uncertain physical parameters and parametrical variations in time. Under suitable growth condition, the singular changing-sign system is transformed to an approximately singular fractional order differential system with positive nonlinear term, then the existence of positive solution is established by using the known fixed point theorem.

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