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Analysis of a New Fractional Model for Damped Bergers' Equation

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2017

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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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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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Open Physics

Volume

15

Issue

1

Start Page

35

End Page

41