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Hossein Jafari

Hossein Jafari

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 2466

Research

Title
Study of fractional order Van der Pol equation
Type
JournalPaper
Keywords
Oscillator equation; Damping; Homotopy analysis method; Embedding parameter; Error analysis; Limit cycle
Year
2016
Journal Journal of King Saud University - Science
DOI
Researchers V Mishra ، S Das ، Hossein Jafari ، S.H Ongc

Abstract

In this article, Homotopy analysis method is successfully used to find the approximate solution of fractional order Van der Pol equation. The fractional derivative is described in the Caputo sense.The numerical computations of convergence control parameters for the acceleration of convergence of approximate series solution are obtained by the analysis of minimization of error for different particular cases and the results are depicted through graphs. The salient feature of the article is the graphical presentation of achieving limit cycles for different parameters.