A new method for solving nonlinear fractional differential equations

Yıl 2017, Cilt: 5 Sayı: 1, 225 - 233, 01.01.2017

Serife Muge Ege Emine Misirli

Öz

In this paper, a new extended Kudryashov method for
solving fractional nonlinear differential equations is proposed. The fractional
derivative in this paper is considered in the sense of modified
Riemann-Liouville. We also handle the time-fractional fifthorder SawadaKotera equation and the time-fractional generalized HirotaSatsuma coupled KdV equation to illustrate the the simplicity and the
effectiveness of this method. Solutions of these equations are obtained in
analytical traveling wave solution form including hyperbolic and trigonometric
functions.

Anahtar Kelimeler

Time-fractional fifth-order Sawada-Kotera equation, time-fractional generalized Hirota-Satsuma coupled KdV equation

Kaynakça

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