Analysis of a New Fractional Model for Damped Bergers' Equation
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Date
2017
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Publisher
De Gruyter Open LTD
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Abstract
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.
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Keywords
Time-Fractional Damped Bergers' Equation, Nonlinear Equation, Caputo-Fabrizio Fractional Derivative, Iterative Method, Fixed-Point Theorem
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Citation
Singh, Jagdev...et al. (2017). Analysis of a New Fractional Model for Damped Bergers' Equation, Open Physics, 15(1), 35-41.
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Source
Open Physics
Volume
15
Issue
1
Start Page
35
End Page
41