This article disputes the study of convective flow for improved nanofluid along with an erect heated plate via Prabhakar-like energy transport. The governing equations for this mathematical model are obtained by Prabhakar fractional derivative. To attain the generalized results for dimensionless velocity profile and temperature profile, a scheme of Laplace transform is applied. By applying the conditions of nanofluid flow, we develop the constantly accelerated, variables accelerated, and non-uniform accelerated solution of the model. Prabhakar fractional derivative for improved nanofluid based on generalized Fourier's thermal flux is determined for heat transfer. Different structures of graphs are performed for ordinary fractional parameters. As a result, it is found that temperature of Ag − H₂O is higher than Cu − H₂O and TiO₂ − H₂O nanoparticles and the reverse trend can be found for velocity. Furthermore, temperature and velocity can be enhanced by increasing the values of fractional parameters.

中文翻译：

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含有不同纳米粒子的分数阶二级流体的对流流动，具有 Prabhakar 分数阶导数，边界处速度不均匀

这篇文章对通过类似 Prabhakar 的能量传输的改进纳米流体的对流流动以及直立加热板的研究提出异议。该数学模型的控制方程由 Prabhakar 分数阶导数获得。为了获得无量纲速度分布和温度分布的广义结果，应用了拉普拉斯变换方案。通过应用纳米流体流动条件，我们开发了模型的持续加速、变量加速和非均匀加速解。确定基于广义傅里叶热通量的改进纳米流体的 Prabhakar 分数阶导数用于传热。对普通分数参数执行不同的图形结构。结果发现，Ag  −  H的温度₂ O高于Cu  -  H ₂ O和TiO ₂  -  H ₂ O纳米颗粒，并且可以发现速度的相反趋势。此外，可以通过增加分数参数的值来提高温度和速度。