In their remarkable paper, Fazli et al. (Int J Comput Math, 2019. https://doi.org/10.1080/00207160.2019.1658870) have recently established existence results for fractional Basset–Boussinesq–Oseen equation in an appropriate partially ordered Banach space. In this paper, we improve this study by proposing different approach that provides existence criterion for the addressed equation. The main assumptions are less restrictive and easily verifiable. Examples with graphical representations are constructed to demonstrate consistency to theoretical findings. Besides, we construct an iterative sequence that converges to the unique solution. We end the paper by a conclusion that demonstrates the advantage of our theorem compared to the previous results.

在他们的非凡论文中，Fazli等人。（Int J Comput Math，2019年。https://doi.org/10.1080/00207160.2019.1658870）最近在适当的部分有序Banach空间中建立了分数Basset–Boussinesq–Oseen方程的存在结果。在本文中，我们通过提出不同方法为提出的方程式提供存在准则，来改进这项研究。主要假设的限制较少，易于验证。构建带有图形表示的示例以证明与理论发现的一致性。此外，我们构建了一个收敛到唯一解的迭代序列。我们以一个结论结束本文，该结论证明了我们的定理与之前的结果相比的优势。