Version 1
: Received: 26 December 2017 / Approved: 27 December 2017 / Online: 27 December 2017 (04:00:25 CET)
How to cite:
Korkmaz, A.; Ersoy Hepson, O.; Hosseini, K.; Rezazadeh, H.; Eslami, M. On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach. Preprints2017, 2017120188. https://doi.org/10.20944/preprints201712.0188.v1
Korkmaz, A.; Ersoy Hepson, O.; Hosseini, K.; Rezazadeh, H.; Eslami, M. On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach. Preprints 2017, 2017120188. https://doi.org/10.20944/preprints201712.0188.v1
Korkmaz, A.; Ersoy Hepson, O.; Hosseini, K.; Rezazadeh, H.; Eslami, M. On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach. Preprints2017, 2017120188. https://doi.org/10.20944/preprints201712.0188.v1
APA Style
Korkmaz, A., Ersoy Hepson, O., Hosseini, K., Rezazadeh, H., & Eslami, M. (2017). On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach. Preprints. https://doi.org/10.20944/preprints201712.0188.v1
Chicago/Turabian Style
Korkmaz, A., Hadi Rezazadeh and Mostafa Eslami. 2017 "On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach" Preprints. https://doi.org/10.20944/preprints201712.0188.v1
Abstract
New exact solutions to conformable time fractional EW and modified EW equations are constructed by using Sine-Gordon expansion approach. The fractional traveling wave transform and homogeneous balance have significant roles in the solution procedure. The predicted solution is of the form of some finite series of multiplication of powers of cos and sin functions. The relation among trigonometric and hyperbolic functions in sense of Sine-Gordon expansion gives opportunity to construct the solutions in terms of hyperbolic functions.
Keywords
sine-gordon expansion method; conformable time fractional EW equation; conformable time fractional modified EW Equation; exact solution; traveling solution
Subject
Computer Science and Mathematics, Mathematics
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.