On the Exact Solutions of a Nonlinear Conformable Time Fractional Equation via IBSEFM

Year 2020, Volume: 3 Issue: 1, 203 - 206, 15.12.2020

Ulviye Demirbilek , Volkan Ala Khanlar R. Mamedov

Abstract

Investigating the solutions of fractional differential equations are essential to understand the nonlinear process that appears in some branch of physical phenomena such as optics, quantum electrons, control theory of dynamical systems. Several computational techniques for the solutions of these equations have been developed. In this study, we implement the Improved Bernoulli Sub-Equation Function Method (IBSEFM) to construct the exact solutions of conformable time fractional KdV equation. We obtain new travelling wave solutions of KdV equation via IBSEFM. We plot the contourplots and 2D,3D graphs by the aid of mathematics software that acquired from the values of the solutions.

Keywords

Conformable Time Fractional Derivative, Exact Solutions, Improved Bernoulli Sub-Equation Funtion Method

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