Extended Kudryashov Method for Fractional Nonlinear Differential Equations

Year 2018, Volume: 6 Issue: 1, 19 - 28, 27.04.2018

Serife Muge Ege Emine Misirli

https://doi.org/10.36753/mathenot.421751

Cited By: 8

Abstract

In this study, we have propesed the extended Kudryashov method to obtain the exact solutions of
nonlinear fractional differential equations. Definiton of modified Riemann Liouville sense fractional
derivative is used and the proposed method is applied to two nonlinear fractional differential equations.
Analytical solutions including hyperbolic functions are obtained.

Keywords

Fractional nonlinear differential equations, extended Kudryashov method, the space time fractional Zakharov Kuznetsov Benjamin Bona Mahony, the space time fractional Fokas equation

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