A generalized KdV equation with fractal derivatives is suggested, and a special function is introduced to establish a fractal variational principle. A detailed derivation is elucidated step by step by the semi-inverse method, and some special cases are discussed.

中文翻译：

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分形空间中广义 KdV 方程的变分原理

提出了一个具有分形导数的广义KdV方程，并引入了一个特殊的函数来建立分形变分原理。用半逆法逐步阐明了详细的推导，并讨论了一些特殊情况。