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dc.contributor.authorWu, T.
dc.contributor.authorZhang, Xinguang
dc.contributor.authorLu, Y.
dc.identifier.citationWu, T. and Zhang, X. and Lu, Y. 2012. Solutions of Sign-Changing Fractional Differential Equation with the Fractional Derivatives. Abstract and Applied Analysis. 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, ??????-1???(1)=??-2??=1??????????-1??(????), where ??-1<??=??, ???N and ??=3 with 0<??1<??2<?<????-2<????-1 and ??-3<????-1<??-2, ?????R,0<??1<??2<?<????-2<1 satisfying ?0<??-2??=1????????-????-1??-1<1, ???? is the standard Riemann-Liouville derivative, ??:[0,1]×R???R is a sign-changing continuous function and may be unbounded from below with respect to ????, and ??:(0,1)?[0,8) is continuous. Some new results on the existence of nontrivial solutions for the above problem are obtained by computing the topological degree of a completely continuous field.

dc.publisherHindawi Publishing Corporation
dc.titleSolutions of Sign-Changing Fractional Differential Equation with the Fractional Derivatives
dc.typeJournal Article
dcterms.source.titleAbstract and Applied Analysis
curtin.accessStatusFulltext not available

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