In this paper, we construct exact solutions for the space–time nonlinear conformable fractional Bogoyavlenskii equations by using the first integral method, and with the help of Maple. As a result, generalized hyperbolic function solutions, generalized trigonometric function solutions and rational function solutions with free and deformation parameters are obtained. The method is very suitable, easy and effective handling of the solution process of nonlinear conformable fractional equations.
