Existence of Positive Solutions to a Singular Semipositone Boundary Value Problem of Nonlinear Fractional Diﬀerential Systems

Xiaofeng Zhang; Hanying Feng

doi:10.11131/2017/101261

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Existence of Positive Solutions to a Singular Semipositone Boundary Value Problem of Nonlinear Fractional Diﬀerential Systems

Author(s): Xiaofeng Zhang and Hanying Feng

In this paper, we consider the existence of positive solutions to a singular semipositone boundary value problem of nonlinear fractional diﬀerential equations. By applyingtheﬁxedpointindextheorem,somenewresultsfortheexistenceofpositivesolutions are obtained. In addition, an example is presented to demonstrate the application of our main results.

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Research in Applied Mathematics

Existence of Positive Solutions to a Singular Semipositone Boundary Value Problem of Nonlinear Fractional Diﬀerential Systems