Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order | Zendy

Liu Yang | Zendy; Zhang Weiguo | Zendy

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Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order

Author(s) -

Liu Yang,

Zhang Weiguo

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 - 10.1155/2012/540846

Subject(s) - mathematics , fixed point theorem , multiplicity (mathematics) , boundary value problem , fractional calculus , nonlinear system , mathematical analysis , differential equation , order (exchange) , picard–lindelöf theorem , fixed point index , class (philosophy) , physics , finance , quantum mechanics , economics , artificial intelligence , computer science

We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. The existence results are obtained by means of the Avery-Peterson fixed point theorem. It should be point out that this is the first time that this fixed point theorem is used to deal with the boundary value problem of differential equations with fractional order derivative

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