Auxiliary equation method for time-fractional differential equations with conformable derivative |
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Authors: | Arzu Akbulut Melike Kaplan |
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Affiliation: | 1. Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics-Computer, Eskisehir, Turkey;2. Kastamonu University, Art-Science Faculty, Department of Mathematics, Kastamonu, Turkey |
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Abstract: | 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. |
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Keywords: | Conformable fractional derivative Auxiliary equation method Time-fractional differential equations |
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