Analysis of a New Fractional Model for Damped Bergers’ Equation

Analysis of a New Fractional Model for Damped Bergers’ Equation

In this article, we present a fractional model of the damped Bergers’ equation associated with the Caputo-Fabrizio fractional derivative. The numerical solution is derived by using the concept of an iterative method. The stability of the applied method is proved by employing the postulate of fixed p...

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Bibliographic Details
Main Authors: Singh Jagdev, Kumar Devendra, Qurashi Maysaa Al, Baleanu Dumitru
Format: Article
Language:English
Published: De Gruyter 2017-03-01
Series:Open Physics
Subjects:
time-fractional damped bergers’ equation
nonlinear equation
caputo-fabrizio fractional derivative
iterative method
fixed-point theorem
02.30.jr
02.30.mv
02.30.uu
05.45.-a
Online Access:https://doi.org/10.1515/phys-2017-0005
Description
Summary:In this article, we present a fractional model of the damped Bergers’ equation associated with the Caputo-Fabrizio fractional derivative. The numerical solution is derived by using the concept of an iterative method. The stability of the applied method is proved by employing the postulate of fixed point. To demonstrate the effectiveness of the used fractional derivative and the iterative method, numerical results are given for distinct values of the order of the fractional derivative.
ISSN:2391-5471

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