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    Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations

    Access Status
    Fulltext not available
    Authors
    Zhang, X.
    Liu, Lishan
    Zou, Y.
    Date
    2018
    Type
    Journal Article
    
    Metadata
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    Citation
    Zhang, X. and Liu, L. and Zou, Y. 2018. Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations. Journal of Function Spaces. 2018.
    Source Title
    Journal of Function Spaces
    DOI
    10.1155/2018/7469868
    ISSN
    2314-8896
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/71265
    Collection
    • Curtin Research Publications
    Abstract

    © 2018 Xinqiu Zhang et al. We study the existence and uniqueness of positive solution for a class of nonlinear binary operator equations systems by means of the cone theory and monotone iterative technique, under more general conditions. Also, we give the iterative sequence of the solution and the error estimation of the system. Moreover, we use this new result to study the existence and uniqueness of the solutions for fractional differential equations systems involving integral boundary value conditions in ordered Banach spaces as an application. The results obtained in this paper are more general than many previous results and complement them.

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