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
Description
Summary: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. An illustrative example is analyzed in order to highlight the obtained result.
ISSN:1687-2770

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