The fractal Rosenau-Burgers equation is proposed and its fractal variational principles were established by Wang and Xu, et al in their work (Fractals, 2024, 32, 6: 2450121). In this study, the more general variational principles with free parameters are developed using the semi-inverse method (SIM) via introducing a new trial-functional taking some parameters. The results reveal that the fractal variational principles obtained by Wang and Xu are the special cases of the general fractal variational principles in this paper.
Liang et al. (Sat,) studied this question.
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