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, 2022 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1142/s0217979223500844
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Modified simple equation method, exact solutions, fractional differential equations, conformable derivative, SOLITON-SOLUTIONS
  • Yıldız Technical University Affiliated: Yes

Abstract

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.