In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution. One of the advantages of this method is quick and easy calculation to find series solutions by using mathematica software package. Graphical presentations for series solutions are given to explanation of the method. The obtained outcomes explain that process is applicable and reliable method to obtain numerical solutions of fractional equations.

中文翻译：

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分数阶肿瘤模型的残差幂级数算法

本文采用残差幂级数方法（RPSM）研究了一些分数癌症模型的新序列解。借助Maclaurin扩展对该解决方案进行了说明。该方法的优点之一是可以使用mathematica软件包进行快速简便的计算以找到级数解。给出了系列解决方案的图形表示，以解释该方法。所得结果说明了该过程是分数方程数值解的一种适用且可靠的方法。