Analysis of the Fuzzy Fractional-Order Solitary Wave Solutions for the KdV Equation in the Sense of Caputo-Fabrizio Derivative

In this paper, we construct a system for analysis of an analytic solution fractional fuzzy solitary wave solutions the Korteweg–De Vries (KdV) equation. We apply iterative method and Laplace transform under Caputo-Fabrizio operator. The obtained series form was calculated approached estimate values proposed problems. upper lower portions result in all three problems were simulation applying two different order among zero one. operator is nonsingular global since exponential function present. It provides types results occurring one at any because its dynamic behaviour globalised suggested Because number form, with branches, fuzziness also incorporated unknown quantity.