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    Multiple positive solutions of a singular fractional differential equation with negatively perturbed term

    Access Status
    Open access via publisher
    Authors
    Zhang, X.
    Liu, L.
    Wu, Yong Hong
    Date
    2012
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Zhang, X. and Liu, L. and Wu, Y.H. 2012. Multiple positive solutions of a singular fractional differential equation with negatively perturbed term. Mathematical and Computer Modelling. 55 (3-4): pp. 1263-1274.
    Source Title
    Mathematical and Computer Modelling
    DOI
    10.1016/j.mcm.2011.10.006
    ISSN
    0895-7177
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/5465
    Collection
    • Curtin Research Publications
    Abstract

    Let View the MathML sourceD0+α be the standard Riemann–Liouville derivative. We discuss the existence of multiple positive solutions for the following fractional differential equation with a negatively perturbed termView the MathML source{−D0+αu(t)=p(t)f(t,u(t))−q(t),0<t<1,u(0)=u′(0)=u(1)=0,[Turn MathJax on]where 2<α≤32<α≤3 is a real number, the perturbed term q:(0,1)→[0,+∞)q:(0,1)→[0,+∞) is Lebesgue integrable and may be singular at some zero measures set of [0,1], which implies the nonlinear term may change sign.

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