An effective computational approach and sensitivity analysis to pseudo-parabolic-type equations

Kaplan M., Butt A. R., Thabet H., Akbulut A., Raza N., Kumar D.

WAVES IN RANDOM AND COMPLEX MEDIA, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1080/17455030.2021.1989081
  • Journal Name: WAVES IN RANDOM AND COMPLEX MEDIA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Symbolic computation, traveling wave solutions, pseudo-parabolic-type fractional equations, exponential rational function method, 02, 30 Jr, 02, 70 Wz, 05, 45 Yv, 94, 05 Fg, PARTIAL-DIFFERENTIAL-EQUATIONS, TZITZEICA TYPE EQUATIONS, TRAVELING-WAVE SOLUTIONS, EXPANSION METHOD, SOLITONS
  • Bursa Uludag University Affiliated: No

Abstract

The researchers have developed numerous analytical and numerical techniques for solving fractional partial differential equations most of which provide approximate solutions. Exact solutions, however, are vitally important in a convenient conception of the qualitative properties of the concerned phenomena and processes. In this paper, the pseudo-parabolic-type equations with conformable fractional derivatives are reduced to conformable fractional nonlinear ordinary differential equations by implementing a simple wave transformation. An important benefit of the proposed transformation is that it yields analytical solutions of the conformable pseudo-parabolic type equations by applying the exponential rational function strategy. The sensitivity behaviour of the model has been mentioned thoroughly.