Version 1
: Received: 27 December 2018 / Approved: 28 December 2018 / Online: 28 December 2018 (08:05:11 CET)
How to cite:
Zafar, A.; Korkmaz, A.; Khalid, B.; Rezazadeh, H. Regarding Rational Exponential and Hyperbolic Functions Solutions of Conformable Time-Fractional Phi-four Equation. Preprints2018, 2018120341 (doi: 10.20944/preprints201812.0341.v1).
Zafar, A.; Korkmaz, A.; Khalid, B.; Rezazadeh, H. Regarding Rational Exponential and Hyperbolic Functions Solutions of Conformable Time-Fractional Phi-four Equation. Preprints 2018, 2018120341 (doi: 10.20944/preprints201812.0341.v1).
Cite as:
Zafar, A.; Korkmaz, A.; Khalid, B.; Rezazadeh, H. Regarding Rational Exponential and Hyperbolic Functions Solutions of Conformable Time-Fractional Phi-four Equation. Preprints2018, 2018120341 (doi: 10.20944/preprints201812.0341.v1).
Zafar, A.; Korkmaz, A.; Khalid, B.; Rezazadeh, H. Regarding Rational Exponential and Hyperbolic Functions Solutions of Conformable Time-Fractional Phi-four Equation. Preprints 2018, 2018120341 (doi: 10.20944/preprints201812.0341.v1).
Abstract
In this study, we actually want to explore the time-fractional Phi-four equation via two methods, the exp a function method and the hyperbolic function method. We transform a fractional order di erential equation into an ordinary differential equation using a wave transformation and the fractional derivative in conformable form. Then, the resulting equation has successfully been explored for new explicit exact solutions. The procured solutions are simply showed the effectiveness and plainness of the projected methods.
Subject Areas
Time-fractional Phi-four equation; Conformable derivatives; exp a function approach; Hyperbolic function approach; Exact solutions
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Asim Zafar