Deniz, SKonuralp, ADe la Sen, M2024-07-182024-07-182073-8994http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/8286The 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.EnglishLONG-WAVE EQUATIONAPPROXIMATE SOLUTIONSHOMOTOPYDIFFUSIONArticle