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

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

Abstract A class of perturbed fractional nonlinear systems is studied. The dynamical system possesses two control parameters and a Lipschitz nonlinearity order of p − 1 $p-1$ . The multiplicity of the weak solutions is proved by means of the variational method and by Ricceri critical points theorems...

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Bibliographic Details
Main Authors: Rafik Guefaifia, Salah Boulaaras, Fares Kamache
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Boundary Value Problems
Subjects:
Fractional differential equations
Riemann–Liouville fractional derivatives
Variational methods
Three solutions
p-Laplacian
Online Access:http://link.springer.com/article/10.1186/s13661-020-01429-x

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