On numerical solution to fractional non-linear oscillatory equations

被引:0
作者
Mehmet Merdan
Ahmet Gökdoğan
Ahmet Yildirim
机构
[1] Gümüşhane University,Department of Mathematical Engineering
[2] Ege University,Department of Mathematics
[3] University of South Florida,Department of Mathematics and Statistics
来源
Meccanica | 2013年 / 48卷
关键词
Multi-step differential transform method; Rayleigh; Duffing; Vander Pol equation and vibration; Non-linear oscillatory equations;
D O I
暂无
中图分类号
学科分类号
摘要
In this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations. The results indicate that the method is very effective and sufficient for solving nonlinear differential equations of fractional order.
引用
收藏
页码:1201 / 1213
页数:12
相关论文
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  • [21] Noor M(2008)Application of generalized differential transform method to multi-order fractional differential equations Appl Math Comput 197 467-477
  • [22] Hassan IH(2009)Generalized differential transform method for linear partial differential equations of fractional order Nonlinear Anal TMA 70 1732-1737
  • [23] Hassan IH(2009)A novel method for nonlinear fractional partial differential equations: combination of DTM and generalized Taylor’s formula Commun Nonlinear Sci Numer Simul 14 1509-1514
  • [24] El-Shahed M(2009)Generalized differential transform method: application to differential equations of fractional order Nonlinear Anal, Real World Appl 10 881-888
  • [25] Odibat Z(2011)Application of the differential transformation method to the solution of a damped system with high nonlinearity Math Comput Appl 16 761-772
  • [26] Momani S(2010)Application of the differential transformation method for the solution of the hyperchaotic Rössler system Stud Nonlin Sci 1 77-81
  • [27] Odibat Z(2002)Application of the differential transformation method to the free vibrations of strongly non-linear oscillators Appl Math Comput 127 1-22
  • [28] Erturk V(2010)Solution of nonlinear oscillators with fractional nonlinearities by using the modified differential transformation method Comput Math Appl 59 1462-1472
  • [29] Erturk V(2012)A numeric-analytic method for approximating the Holling Tanner model Math Comput Model 55 761-769
  • [30] Momani S(1967)On solving some eigenvalue problems by using a differential transformation J R Aust Soc 13 529-539