The first integral method for solving some conformable fractional differential equations

Analytic behavior of fractional differential equations are often seems confusing. Thus, finding comprehensive methods for solving those sounds of high importance. In the present study, Feng's first integral method which is based on the ring theory of commutative algebra, is developed for analytic treatment fractional differential equations based on conformable fractional derivative. Furthermore, some important nonlinear fractional differential equations, such as Burgers-KdV, Klein-Gordon, KdV-Zakharov-Kuznetsev, and Zakharov-Kuznetsov equations are solved by the proposed approach.