Zafar, A.; Korkmaz, A.; Khalid, B.; Rezazadeh, H. Regarding Rational Exponential and Hyperbolic Functions Solutions of Conformable Time-Fractional Phi-four Equation. Preprints2018, 2018120341. https://doi.org/10.20944/preprints201812.0341.v1
APA Style
Zafar, A., Korkmaz, A., Khalid, B., & Rezazadeh, H. (2018). Regarding Rational Exponential and Hyperbolic Functions Solutions of Conformable Time-Fractional Phi-four Equation. Preprints. https://doi.org/10.20944/preprints201812.0341.v1
Chicago/Turabian Style
Zafar, A., Bushra Khalid and Hadi Rezazadeh. 2018 "Regarding Rational Exponential and Hyperbolic Functions Solutions of Conformable Time-Fractional Phi-four Equation" Preprints. https://doi.org/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.
Keywords
Time-fractional Phi-four equation; Conformable derivatives; exp a function approach; Hyperbolic function approach; Exact solutions
Subject
Physical Sciences, Mathematical Physics
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.
