与整数阶微分算子相比，分数阶算子可以更加准确地描述系统的某些特性，如遗传和记忆功能。为了更加准确和高效地求解分数阶系统，文中首先提出了一种基于Adams 离散和 Newmark-β 法的数值方法来获得系统的响应。对于分数阶系统的参数识别反问题，将其归结为一类非线性的优化问题，然后采用增强响应灵敏度法对识别方程进行求解。算例表明，文中提出的正问题计算格式可以快速、准确地得到系统的响应，增强响应灵敏度法能准确识别出系统的参数，并且对模拟的测量噪声不敏感。

Compared with the integer order differential operator，fractional order operator can describe some charac-teristics of the system more accurately，such as hereditary and memory properties． In order to find a more accurate and efficient way to solve the fractional order system，a new computational scheme designed to get the system re-sponse was put forward based on Adams-type scheme and the Newmark-β method． The inverse problem of parame-ter identification was considered as a nonlinear optimization problem． And the enhanced response sensitivity method was used to solve the identification equation． Numerical examples show that the calculation format of the direct problem proposed in the paper can quickly and accurately get response from the system，so the enhanced response sensitivity method can accurately identify the parameters of the fractional system and be insensitive to the measure-ment noise．