THE GENERALIZED DIFFERENTIAL TRANSFORM METHOD FOR SOLUTION OF A FREE VIBRATION LINEAR DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE DAMPING

被引：2
|
作者：
Das, Deepanjan [1 ]
机构：
[1] Ghani Khan Choudhury Inst Engn & Technol, Dept Math, Malda 732141, W Bengal, India
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2019年 / 18卷 / 02期
关键词：
fractional differential equations; Caputo fractional derivative; generalized differential transform method; analytic solution;
D O I：
10.17512/jamcm.2019.2.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, the Generalized Differential Transform Method (GDTM) is used for obtaining the approximate analytic solutions of a free vibration linear differential equation of a single-degree-of-freedom (SDOF) system with fractional derivative damping. The fractional derivatives are described in the Caputo sense.
引用
收藏
页码：19 / 29
页数：11
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