Youwei Zhang, "Time-Fractional Klein-Gordon Equation: Formulation and Solution Using Variational Methods," WSEAS Transactions on Mathematics, vol. 15, pp. 206-214, 2016, DOI:
Youwei Zhang. Time-Fractional Klein-Gordon Equation: Formulation and Solution Using Variational Methods.
WSEAS Transactions on Mathematics. 2016;15:206-214.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Time-Fractional Klein-Gordon Equation: Formulation and Solution Using Variational Methods
Author:
Abstract: This paper presents the formulation of time-fractional Klein-Gordon equation using the Euler-Lagrange variational technique in the Riesz derivative sense and derives an approximate solitary wave solution. Our results witness that He’s variational iteration method was very efficient and powerful technique in finding the solution of the proposed equation. The basic idea described in this paper is efficient and powerful in solving wide classes of nonlinear fractional high order evolution equations.
Keywords:
Riesz fractional derivative, Euler-Lagrange equation, Klein-Gordon equation, He’s variational iteration method, Solitary wave
Pages: 206-214 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #20 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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