This study deals with the generalised Kudryashov method (GKM) for the time-fractional generalised Burgers–Fisher equation (TF-GBF). Using the transformation of travelling wave, the TF-GBF is transformed into a non-linear ordinary differential equation (NLODE). Later, GKM has been applied in the resultant equation which is a novel technique to obtain exact solutions. These exact solutions are plotted and the power series solution is also derived.

中文翻译：

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使用广义 Kudryashov 方法的时间分数广义 Burgers-Fisher 方程的精确解

本研究涉及时间分数广义 Burgers-Fisher 方程 (TF-GBF) 的广义 Kudryashov 方法 (GKM)。利用行波变换，将 TF-GBF 变换为非线性常微分方程 (NLODE)。后来，GKM 已应用于合成方程，这是一种获得精确解的新技术。绘制这些精确解并推导出幂级数解。