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

页码：19 / 29

页数：11

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