<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, the new exact solutions of nonlinear conformable fractional partial differential equations(CFPDEs) are achieved by using auxiliary equation method for the nonlinear space-time fractional Klein-Gordon equation and the (2+1)-dimensional time-fractional Zoomeron equation. The technique is easily applicable which can be applied successfully to get the solutions for different types of nonlinear CFPDEs. The conformable fractional derivative(CFD) definitions are used to cope with the fractional derivatives.</p></abstract>

In this paper, the new exact solutions of nonlinear conformable fractional partial differential equations(CFPDEs) are achieved by using auxiliary equation method for the nonlinear space-time fractional Klein-Gordon equation and the (2+1)-dimensional time-fractional Zoomeron equation. The technique is easily applicable which can be applied successfully to get the solutions for different types of nonlinear CFPDEs. The conformable fractional derivative(CFD) definitions are used to cope with the fractional derivatives.

Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method

Department of Mathematics-Computer, Art-Science Faculty

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, the new exact solutions of nonlinear conformable fractional partial differential equations(CFPDEs) are achieved by using auxiliary equation...

Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method

Published Online: Apr 10, 2020

Page range: 437 - 446

Received: Jun 13, 2019

Accepted: Dec 10, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00041

Keywords
Space-time fractional Klein-Gordon equation, Time-fractional Zoomeron Equation, Conformable fractional derivative, Auxiliary equation method

© 2019 Muammer Topsakal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method

Published Online: Apr 10, 2020

Page range: 437 - 446

Received: Jun 13, 2019

Accepted: Dec 10, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00041

KeywordsSpace-time fractional Klein-Gordon equation, Time-fractional Zoomeron Equation, Conformable fractional derivative, Auxiliary equation method

© 2019 Muammer Topsakal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Space-time fractional Klein-Gordon equation, Time-fractional Zoomeron Equation, Conformable fractional derivative, Auxiliary equation method