Assorted hyperbolic and trigonometric function solutions of fractional equations with conformable derivative in shallow water

ÇEVİKEL A. C., Bekir A.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, cilt.37, sa.9, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 9
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1142/s0217979223500844
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Modified simple equation method, exact solutions, fractional differential equations, conformable derivative, SOLITON-SOLUTIONS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We present the modified simple equation method for solving nonlinear fractional-order partial differential equations (fPDEs). With the presented method, some important fPDEs are solved. We used conformable derivatives to solve these equations. The solutions obtained are both hyperbolic and trigonometric function solutions. Most of these solutions are new solutions not found in the literature.