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

    Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions

    Access Status
    Open access via publisher
    Authors
    Jia, M.
    Zhang, Xinguang
    Gu, X.
    Date
    2012
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Jia, M. and Zhang, X. and Gu, X. 2012. Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions. Boundary Value Problems. 70: pp. 1-16.
    Source Title
    Boundary Value Problems
    DOI
    10.1186/1687-2770-2012-70
    ISSN
    1687-2762
    URI
    http://hdl.handle.net/20.500.11937/30226
    Collection
    • Curtin Research Publications
    Abstract

    This paper investigates the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this kind of problems arise from viscoelasticity, electrochemistry control, porous media, electromagnetic and signal processing of wireless communication system. Some sufficient conditions for the existence and uniqueness of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray-Schauder nonlinear alternative and Schauder fixed point theorem.

    Related items

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

    • Size exclusion chromatography as a tool for natural organic matter characterisation in drinking water treatment
      Allpike, Bradley (2008)
      Natural organic matter (NOM), ubiquitous in natural water sources, is generated by biogeochemical processes in both the water body and in the surrounding watershed, as well as from the contribution of organic compounds ...
    • Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
      Zhang, Xinguang; Liu, Lishan; Wu, Yong Hong; Wiwatanapataphee, Benchawan (2017)
      © 2016 Elsevier LtdIn this paper, we consider the existence of nontrivial solutions for a class of fractional advection–dispersion equations. A new existence result is established by introducing a suitable fractional ...
    • Solutions of Sign-Changing Fractional Differential Equation with the Fractional Derivatives
      Wu, T.; Zhang, Xinguang; Lu, Y. (2012)
      We study the singular fractional-order boundary-value problem with a sign-changing nonlinear term -??????(??)=??(??)??(??,??(??),????1??(??),????2??(??),…,??????-1??(??)),0<??<1,????????(0)=0,1=??=??-1,??????-1+1??(0)=0, ...
    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.