The (G '/G)-expansion method for the nonlinear time fractional differential equations

ÜNSAL Ö., GÜNER Ö., Bekir A., ÇEVİKEL A. C.

11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), La Rochelle, Fransa, 4 - 08 Temmuz 2016, cilt.1798 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1798
  • Doi Numarası: 10.1063/1.4972759
  • Basıldığı Şehir: La Rochelle
  • Basıldığı Ülke: Fransa
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we obtain exact solutions of two time fractional differential equations using Jumarie's modified Riemann-Liouville derivative which is encountered in mathematical physics and applied mathematics; namely (3 + 1)-dimensional time fractional KdV-ZK equation and time fractional ADR equation by using fractional complex transform and (G'/G)-expansion method. It is shown that the considered transform and method are very useful in solving nonlinear fractional differential equations.