一类非线性分数阶微分方程的幂级数求解  

The Solution of a Kind of Non-linear Fractional Order Differential Equation by Power Series

作　　者：金艳玲 JIN Yanling(Shanxi Vocational University of Engineering Science and Technology,Shanxi Jinzhong 030619,China)

机构地区：[1]山西工程科技职业大学基础课教学部,山西晋中030619

出　　处：《太原师范学院学报（自然科学版）》2021年第4期26-28,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：文章针对一类非线性分数阶微分方程的数值解进行探讨.利用可微函数的Taylor展式,将方程中的分数阶微分项展成幂级数形式,进而得到微分方程的近似解,数值算例验证了方法求解问题的有效性.A class of nonlinear fractional order differential equation is studied.By using Taylor expansion,the fractional differential term is expanded into power series,and then the approximate solution of the equation is obtained.The validity of the method is verified by example.

关 键 词：分数阶微分方程 分数差分 数值解 

分 类 号：O175.6[理学—数学]