Novel exact and solitary solutions of conformable Huxley equation with three effective methods

ÇEVİKEL A. C., Bekir A., Zahran E. H.

Journal of Ocean Engineering and Science, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1016/j.joes.2022.06.010
  • Journal Name: Journal of Ocean Engineering and Science
  • Journal Indexes: Scopus
  • Keywords: Conformable derivative, Exact solutions, Exp-function method, Kudryashov method, Sub-equation method, Time fractional Huxley equation
  • Yıldız Technical University Affiliated: Yes

Abstract

© 2022In this study, we applied sub-equation method, Kudryashov method and exp-function method for time fractional Huxley equation (TFHE) in the sense of the conformable derivative and obtained new exact solutions. The results show that these methods are very effective for solving nonlinear fractional differential equations (NFDEs) that arose in mathematical physics. Consequently, these methods are efficient in finding the exact solutions of other NFDES.