Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions

    241461_241461.pdf (1.574Mb)
    Access Status
    Open access
    Authors
    Liu, Lishan
    Zhang, X.
    Liu, L.
    Wu, Yong Hong
    Date
    2016
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Liu, L. and Zhang, X. and Liu, L. and Wu, Y.H. 2016. Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions. Advances in Difference Equations. 2016 (154).
    Source Title
    Advances in Difference Equations
    DOI
    10.1186/s13662-016-0876-5
    ISSN
    1687-1839
    School
    Department of Mathematics and Statistics
    Remarks

    This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/

    URI
    http://hdl.handle.net/20.500.11937/39457
    Collection
    • Curtin Research Publications
    Abstract

    In this article, we study the existence of iterative positive solutions for a class of singular nonlinear fractional differential equations with Riemann-Stieltjes integral boundary conditions, where the nonlinear term may be singular both for time and space variables. By using the properties of the Green function and the fixed point theorem of mixed monotone operators in cones we obtain some results on the existence and uniqueness of positive solutions. We also construct successively some sequences for approximating the unique solution. Our results include the multipoint boundary problems and integral boundary problems as special cases, and we also extend and improve many known results including singular and non-singular cases.

    Related items

    Showing items related by title, author, creator and subject.

    • Positive solutions for singular second order differential equations with integral boundary conditions
      Liu, Lishan; Hao, Xinan; Wu, Yong Hong (2013)
      In this paper, we study the existence of positive solutions for the singular second order integral boundary value problem [unable to display problem], where c(t) is allowed to be singular at t=0,1 and f(u) may be singular ...
    • Analysis of interface cracks in one-dimensional hexagonal quasi-crystal coating under in-plane loads
      Zhao, M.H.; Fan, C.Y.; Lu, Chunsheng ; Dang, H.Y. (2021)
      © 2021 Elsevier Ltd The displacement discontinuity (DD) method is proposed to analyze interface cracks in one-dimensional hexagonal quasi-crystal (QC) coating under in-plane loads. According to the general solutions and ...
    • Higher-order dynamic delay differential equations on time scales
      Su, H.; Liu, Lishan; Wang, X. (2012)
      We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p -Laplacian dynamic delay differential equations on time scales, subject to some boundary ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.