Analytical approach for the fractional differential equations by using the extended tanh method

PANDIR Y., Yildirim A.

WAVES IN RANDOM AND COMPLEX MEDIA, cilt.28, sa.3, ss.399-410, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/17455030.2017.1356490
  • Dergi Adı: WAVES IN RANDOM AND COMPLEX MEDIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.399-410
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this study, we consider analytical solutions of space-time fractional derivative foam drainage equation, the nonlinear Korteweg-de Vries equation with time and space-fractional derivatives and time-fractional reaction-diffusion equation by using the extended tanh method. The fractional derivatives are defined in the modified Riemann-Liouville context. As a result, various exact analytical solutions consisting of trigonometric function solutions, kink-shaped soliton solutions and new exact solitary wave solutions are obtained.