Optimal perturbation iteration method for solving fractional model of damped burgers' equation
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2020
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Abstract
The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers' equation. The classical damped Burgers' equation is remodeled to fractional differential form via the Atangana-Baleanu fractional derivatives described with the help of the Mittag-Leffler function. To display the efficiency of the proposed optimal perturbation iteration technique, an extended example is deeply analyzed. © 2020 by the authors.