Exact Solutions of the Time-fractional Fitzhugh-Nagumo Equation

PANDIR Y., Tandogan Y. A.

11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Yunanistan, 21 - 27 Eylül 2013, cilt.1558, ss.1919-1922 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1558
  • Doi Numarası: 10.1063/1.4825908
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.1919-1922
  • Anahtar Kelimeler: The modified trial equation method, time-fractional Fitzhugh-Nagumo equation, Soliton solution, Periodic solution
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, the modified trial equation method is applied to obtain analytical solutions of the time-fractional Fitzhugh-Nagumo equation. The fractional partial differential equations are defined by modified Riemann-Liouville fractional derivative. With the help of fractional derivative and traveling wave transformation, these equations can be converted into the nonlinear non-fractional ordinary differential equations. Exact solutions of the time-fractional Fitzhugh-Nagumo equation have been obtained through the proposed method. The acquired results are demoted to the rational function solutions, hyperbolic function solution and periodic solutions.