Open AccessAnalysis of fractional duffing oscillator
Author(s) -
S.C. Eze
Publication year - 2020
Publication title -
revista mexicana de física/revista mexicana de física
Language(s) - English
Resource type - Journals
eISSN - 2683-2224
pISSN - 0035-001X
DOI - 10.31349/revmexfis.66.187
Subject(s) - duffing equation , laplace transform , nonlinear system , mathematics , simple (philosophy) , mathematical analysis , homogeneous , fractional calculus , physics , quantum mechanics , philosophy , epistemology , combinatorics
In this contribution, a simple analytical method (which is an elegant combination of a well known methods; perturbation method and Laplace method) for solving non-linear and non-homogeneous fractional dierential equations is pro- posed. In particular, the proposed method was used to analysed the fractional Dung oscillator.The technique employed in this method can be used to analyse other nonlinear fractional dierential equations, and can also be extended to non- linear partial fractional dierential equations.The performance of this method is reliable, eective and gives more general solution.