NONTRIVIAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER-ORDER SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS | Zendy

Shengli Xie | Zendy; Yiming Xie | Zendy

Open Access

NONTRIVIAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER-ORDER SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS

Author(s) -

Shengli Xie,

Yiming Xie

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.938

Subject(s) - mathematics , nonlinear system , boundary value problem , mathematical analysis , singular solution , multiplicity (mathematics) , cone (formal languages) , order (exchange) , differential equation , physics , finance , algorithm , quantum mechanics , economics

This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is topological degree theory. Some examples explain that our results cannot be obtained by the method of cone theory.

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