Time-fractional Klein-Gordon equation: formulation and solution using variational methods
نویسنده
چکیده
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. Key–Words: Riesz fractional derivative; Euler-Lagrange equation; Klein-Gordon equation; He’s variational iteration method; Solitary wave
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