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.

中文翻译：

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关于具有Lipschitz非线性的p- Laplacian Dirichlet分数系统的三个解的存在性

研究了一类摄动分数阶非线性系统。该动力学系统具有两个控制参数和$ p-1 $的Lipschitz非线性阶。弱变量的多重性通过变分方法和Ricceri临界点定理证明。分析说明性示例以便突出获得的结果。