On exact solutions of some important nonlinear conformable time-fractional differential equations

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Özkan E. M., Özkan A.

SeMA Journal, cilt.80, sa.2, ss.303-318, 2023 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 80 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s40324-022-00290-5
  • Dergi Adı: SeMA Journal
  • Sayfa Sayıları: ss.303-318
  • Anahtar Kelimeler: (G'/G2) -expansion method, Conformable fractional derivative, Exact solutions
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s), under exclusive licence to Sociedad Española de Matemática Aplicada.The nonlinear fractional Boussinesq equations are known as the fractional differential equation class that has an important place in mathematical physics. In this study, a method called (G′G2)-extension method which works well and reveals exact solutions is used to examine nonlinear Boussinesq equations with conformable time-fractional derivative. This method is a very useful approach and extremely utility compared to other analytical methods. With the proposed method, there are three unique types of solutions such as hyperbolic, trigonometric and rational solutions. This approach can similarly be applied to other nonlinear fractional models.