Preprint Article Version 1 This version is not peer-reviewed

On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach

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. Preprints 2017, 2017120188 (doi: 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 (doi: 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.

Subject Areas

sine-gordon expansion method; conformable time fractional EW equation; conformable time fractional modified EW Equation; exact solution; traveling solution

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