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中文摘要：
研究基于分数阶模型的完整非保守系统的Lie对称性与守恒量。首先，基于分数阶Hamilton原理导出了分数阶d’Alembert-Lagrange原理并建立分数阶Euler-Lagrange方程，研究一般无限小变换下的Lie对称性，建立确定方程，给出分数阶完整非保守系统Lie对称性的定义和判据；其次，给出Lie对称性的分数阶Noether型守恒量存在的条件及形式；最后，举例说明结果的应用。
英文摘要：
In this paper, we studied the Lie symmetry and conserved quantity for holonomic non-conservative systems based on fractional models. Firstly, we deduced the fractional principle of d＇Alembert-Lagrange from the fractional Hamilton principle and established the fractional Euler-Lagrange equations. The Lie symmetry under the general infinitesimal transformations was investigated and its determination equations were established. More-over, the definition and criterion of the Lie symmetry for the fractional holonomic non-conservative systems were given. Secondly, we provided the existence condition and the form of the Noether conserved quantity deduced from the Lie symmetry. Lastly, two examples were given to illustrate the application of the results.
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