On the comparative study for Klein–Fock–Gordon equation: Fractional exact solutions, bifurcation and sensitivity analysis

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Günhan Ay N., Sağlam Özkan Y., Yaşar E.

CHINESE JOURNAL OF PHYSICS, vol.89, pp.453-468, 2024 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 89
  • Publication Date: 2024
  • Doi Number: 10.1016/j.cjph.2024.03.017
  • Journal Name: CHINESE JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.453-468
  • Bursa Uludag University Affiliated: Yes

Abstract

In this study, we consider the Klein–Fock–Gordon equation model that emerges in the fields

of quantum field theory, condensed matter physics and theory of relativity etc. The exact

solutions of the model with various physical properties were systematically created in terms of

Beta, Atangana–Baleanu meaning Caputo and M-fractional fractional derivatives. 3-D graphic

analysis, physical interpretations of solutions and comparisons of derivative operators are

presented. The fact that the solutions to be presented are different from those in the literature

and examining the effects of different fractional derivative operators on the solutions are among

the novelties of the study. In the last part of the article, bifurcation analysis and sensitivity

analysis were performed and phase portraits shown. At the same time we examine the effects

of some parameters on sensitivity.