Positive solutions of multi-point boundary value problem of fractional differential equation | Zendy

De-Xiang Ma | Zendy

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Positive solutions of multi-point boundary value problem of fractional differential equation

Author(s) -

De-Xiang Ma

Publication year - 2015

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2014.11.001

Subject(s) - mathematics , boundary value problem , mathematical analysis , fixed point theorem , multiplicity (mathematics) , cone (formal languages) , differential equation , nonlinear system , mathematical proof , geometry , physics , algorithm , quantum mechanics

By means of two fixed-point theorems on a cone in Banach spaces, some existence and multiplicity results of positive solutions of a nonlinear fractional differential equation boundary value problem are obtained. The proofs are based upon some properties of Green’s function, which are also the key of the paper

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