The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative

Gurefe Y.

Revista Mexicana de Fisica, cilt.66, sa.6, ss.771-781, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 66 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.31349/revmexfis.66.771
  • Dergi Adı: Revista Mexicana de Fisica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, DIALNET
  • Sayfa Sayıları: ss.771-781
  • Anahtar Kelimeler: beta-derivative, Hunter-Saxton equation, Schr¨odinger equation, The generalized Kudryashov method, wave solutions
  • Uşak Üniversitesi Adresli: Evet

Özet

In this article, we consider the exact solutions of the Hunter-Saxton and Schr¨odinger equations defined by Atangana’s conformable derivative using the general Kudryashov method. Firstly, Atangana’s conformable fractional derivative and its properties are included. Then, by introducing the generalized Kudryashov method, exact solutions of nonlinear fractional partial differential equations, which can be expressed with the conformable derivative of Atangana, are classified. Looking at the results obtained, it is understood that the generalized Kudryashov method can yield important results in obtaining the exact solutions of fractional partial differential equations containing beta-derivatives.