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

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.