The Positive Properties of Green’s Function for Fractional Differential Equations and Its Applications

Fuquan Jiang, Xiaojie Xu and Zhongwei Cao

Abstract and Applied Analysis, 2013, vol. 2013, 1-12

Abstract:

We consider the properties of Green’s function for the nonlinear fractional differential equation boundary value problem: , where , is the standard Riemann-Liouville derivative. Here our nonlinearity may be singular at . As applications of Green’s function, we give some multiple positive solutions for singular boundary value problems by means of Schauder fixed-point theorem.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:531038

DOI: 10.1155/2013/531038

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