Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity | Zendy

Yongqing Wang | Zendy; Lishan Liu | Zendy; Yonghong Wu | Zendy

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Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity

Author(s) -

Yongqing Wang,

Lishan Liu,

Yonghong Wu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/149849

Subject(s) - mathematics , sign (mathematics) , cone (formal languages) , nonlinear system , fixed point theorem , boundary value problem , mathematical analysis , function (biology) , value (mathematics) , fixed point index , statistics , physics , algorithm , quantum mechanics , evolutionary biology , biology

We discuss the existence of positive solutions of a boundary value problem of nonlinear fractional differential equation with changing sign nonlinearity. We first derive some properties of the associated Green function and then obtain some results on the existence of positive solutions by means of the Krasnoselskii's fixed point theorem in a cone

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