The paper presents a numerical analysis of the class of mathematical models of linear fractional oscillators, which is the Cauchy problem for a differential equation with derivatives of fractional orders in the sense of Gerasimov-Caputo. A method based on an explicit nonlocal finite-difference scheme (ENFDS) and the Adams-Bashfort-Moulton (ABM) method is considered a numerical analysis tool. An analysis of the errors of the methods is carried out, and it is shown that the ABM method is more accurate and converges faster to an exact solution than the ENFDS method.

翻译：本文对线性分数振荡器数学模型类别进行了数字分析,这是Gerasimov-Caputo意义上的分数定单衍生物差异方程式的棘手问题,基于明确的非本地有限差异计划和Adams-Bashfort-Moulton(ABM)方法的方法被视为数字分析工具,对方法错误进行了分析,并表明反弹道导弹方法比欧洲反弹道导弹系统方法更准确,更接近精确的解决办法。