Analysis of fractional duffing oscillator

• S.C. Eze ^[1]
  1. [1] University of Nigeria, Nsukka, Nigeria
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 66, Nº. 2, 2020, págs. 187-191
• Idioma: español
• Enlaces
  • Texto completo
• Resumen

  • In this contribution, a simple analytical method (which is an elegant combination of well known methods; perturbation and Laplace methods) for solving non-linear and non-homogeneous fractional differential equations is proposed. In particular, the proposed method was used to analyze the fractional Duffing oscillator. The technique employed can be used to analyze other non-linear fractional differential equations and can also be extended to non-linear partial fractional differential equations. The performance of this method is reliable, effective, and gives more general solutions.