Journal
OPEN PHYSICS
Volume 15, Issue 1, Pages 35-41Publisher
DE GRUYTER OPEN LTD
DOI: 10.1515/phys-2017-0005
Keywords
Time-fractional damped Bergers' equation; Nonlinear equation; Caputo-Fabrizio fractional derivative; Iterative method; Fixed-point theorem
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Funding
- International Scientific Partnership Program ISPP at King Saud University [63]
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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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