 Dual-wave solutions for the quadratic–cubic conformable-Caputo time-fractional Klein–Fock–Gordon equationMarwan Alquran, Feras Yousef, Farah Alquran, Tukur A. Sulaiman and Abdullahi Yusuf Mathematics and Computers in Simulation (MATCOM), 2021, vol. 185, issue C, 62-76 Abstract: In this paper, the conformable-time-fractional Klein–Fock–Gordon equation is considered and solved using the Kudryashov-expansion method to extract dual-wave solutions. Only, the quadratic and the cubic cases of the model are investigated. It has been noticed that physical changes in the construction of the obtained solutions are reported in the case of transition from the quadratic-state into the cubic-state. Additionally, the Caputo-time-fractional quadratic–cubic Klein–Fock–Gordon is also considered and studied by implementing the residual power series method. A comparison between these two types of fractional derivatives is discussed and the 2D–3D plots are provided to support the findings of this work. Keywords: Time-fractional Klein–Fock–Gordon equation; Conformable-derivative; Caputo-derivative; Kudryashov-expansion method; Residual power series method; Dual-wave solutions (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:185:y:2021:i:c:p:62-76 DOI: 10.1016/j.matcom.2020.12.014 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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