分数阶比例延迟微分方程的修正Lucas多项式解法  

Modified Lucas polynomials method for a class of fractional differential equation with proportional delay

作　　者：金艳玲 JIN Yanling(Basic Teaching Department,Shanxi Vocational University of Engineering Science and Technology,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：《山东理工大学学报（自然科学版）》2023年第3期46-48,53,共4页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：利用修正的Lucas多项式方法,给出计算分数阶比例延迟微分方程数值解的算法,并通过数值算例验证修正Lucas多项式方法对此类微分方程数值解求解的有效性。Using the modified Lucas polynomial method,an algorithm for computing numerical solutions of fractional order differential equations with proportional delay is given,and the effectiveness of this method is verified by numerical examples.

关 键 词：分数阶微分方程 修正Lucas多项式 数值解 

分 类 号：O175.6[理学—数学]