Browsing by Author "Akbulut A., Kaplan M."

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Auxiliary equation method for time-fractional differential equations with conformable derivative
(2018-02-01) Akbulut A., Kaplan M.; Akbulut, A, Kaplan, M
In 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.