On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity

被引：10

作者：

Guefaifia, Rafik ^{[1
]}

Boulaaras, Salah ^{[2
,3
]}

Kamache, Fares ^{[1
]}

机构：

[1] Larbi Tebessi Univ, Fac Exact Sci, Dept Math, Tebessa, Algeria

[2] Qassim Univ, Dept Math, Coll Sci & Arts, Al Rass, Saudi Arabia

[3] Univ Oran 1, Lab Fundamental & Appl Math Oran LM FAO, Ahmed Benbella, Algeria

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

关键词：

Fractional differential equations; Riemann-Liouville fractional derivatives; Variational methods; Three solutions; p-Laplacian; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; REGULARITY CRITERION;

D O I：

10.1186/s13661-020-01429-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of perturbed fractional nonlinear systems is studied. The dynamical system possesses two control parameters and a Lipschitz nonlinearity order of p - 1. The multiplicity of the weak solutions is proved by means of the variational method and by Ricceri critical points theorems. An illustrative example is analyzed in order to highlight the obtained result.

引用

页数：15

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