Akbulut A.Kaplan M.2023-04-122023-04-122018-02-0108981221https://hdl.handle.net/20.500.12597/5331In this paper, the auxiliary equation method is applied to obtain analytical solutions of (2 + 1)-dimensional time-fractional Zoomeron equation and the time-fractional third order modified KdV equation in the sense of the conformable fractional derivative. Given equations are converted to the nonlinear ordinary differential equations of integer order; and then, the resulting equations are solved using a novel analytical method called the auxiliary equation method. As a result, some exact solutions for them are successfully established. The exact solutions obtained by the proposed method indicate that the approach is easy to implement and effective.trueAuxiliary equation method | Conformable fractional derivative | Time-fractional differential equationsArticle10.1016/j.camwa.2017.10.0162-s2.0-85032929721