On the solutions of the nonlinear fractional differential equations via the modified trial equation method


ODABAŞI M. , MISIRLI E.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.41, ss.904-911, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 41 Konu: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1002/mma.3533
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.904-911

Özet

In this study, the nonlinear fractional partial differential equations have been defined by the modified Riemann-Liouville fractional derivative. By using this fractional derivative and traveling wave transformation, the nonlinear fractional partial differential equations have been converted into nonlinear ordinary differential equations. The modified trial equation method is implemented to obtain exact solutions of the nonlinear fractional Klein-Gordon equation and fractional clannish random walker's parabolic equation. As a result, some exact solutions including single kink solution and periodic and rational function solutions of these equations have been successfully obtained. Copyright (c) 2015 John Wiley & Sons, Ltd.