The truncated solution of space–time fractional differential equations, including conformable derivative is constructed by the help of residual power series method (RPSM). At the first step the space–time fractional differential equations are transformed into space fractional differential equations or time fractional differential equations by means of a specific transformation. Then the solutions are obtained in the form of fractional power series by semi-analytical method RSPM. Finally, the illustrative examples show that this method is applicable, for constructing the truncated analytic solutions for space–time fractional differential equations.

中文翻译：

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求解具有适形导数的分数阶扩散问题的新方法

时空分数阶微分方程的截断解，包括适形导数，是借助剩余幂级数法（RPSM）构造的。第一步，通过特定的变换将时空分数阶微分方程转化为空间分数阶微分方程或时间分数阶微分方程。然后通过半解析方法RSPM以分数幂级数的形式获得解。最后，示例表明该方法适用于构造时空分数阶微分方程的截断解析解​​。