This work is devoted to the time fractional differential equations (TFDEs) with the Atangana-Baleanu-Riemann (ABR) fractional derivative and their analytical solutions. We generalize the Nucci’s reduction method to find the exact solutions of such equations. Different general solutions of nonlinear ABR fractional differential equations besides first integrals are discussed in different types such as soliton and implicit solutions.

中文翻译：

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一种求非奇异核导数分数演化方程精确解的新方法

这项工作致力于使用 Atangana-Baleanu-Riemann (ABR) 分数阶导数的时间分数阶微分方程 (TFDE) 及其解析解。我们推广 Nucci 的约简方法来找到这些方程的精确解。非线性 ABR 分数阶微分方程除一阶积分外的不同一般解在不同类型（例如孤子解和隐解）中进行了讨论。