The present effort elaborates the fractional analyses for Darcy-Forchheimer hybrid nanoliquid flow over a porous spinning disk. Temperature and concentration slip conditions are utilized at the surface of the spinning disk. A specific type of nanoparticles known as Silver-Ag and Magnesium-oxide MgO is added to the base fluid, to synthesis the hybrid nanoliquid. By using Karman’s approach, the system of partial differential equations is depleted into a dimensionless system of differential equations. The obtained equations are further diminished to the first-order differential equation via selecting variables. To develop the fractional solution, the proposed model has been set up by Matlab fractional code Fde12. For accuracy and validity of the resulting framework, the outputs are compared with the fast-approaching numerical Matlab scheme boundary value solver (bvp4c). The impact of several flow constraints versus velocity, mass and thermal energy profiles have been portrayed and discussed. Magnesium oxide MgO compound is consists of Mg²⁺ and O²⁻ ions, together bonded by a strong ionic bond, which can be synthesized by pyrolysis of magnesium hydroxide Mg (OH) ² and MgCO³ (magnesium carbonate) at a very high temperature (700–1500 °C). It is more convenient for refractory and electrical applications. Similarly, the antibacterial upshots of silver Ag nano-size particles could be used to manage bacterial growth in several applications, such as dental work, burns and wound treatment, surgery applications and biomedical apparatus.

本工作详细阐述了在多孔纺丝盘上进行Darcy-Forchheimer杂化纳米液体流动的分数分析。在纺丝盘的表面利用温度和浓度滑移条件。一种特定类型的纳米粒子，称为银-银和氧化镁MgO将其添加到基础流体中，以合成杂化纳米液体。通过使用Karman方法，偏微分方程组被耗尽为微分方程的无量纲系统。通过选择变量，将获得的方程式进一步简化为一阶微分方程式。为了开发分数解，通过Matlab分数代码Fde12建立了所提出的模型。为了保证所得框架的准确性和有效性，将输出与快速逼近的数值Matlab方案边界值求解器（bvp4c）进行比较。描绘和讨论了几种流动约束与速度，质量和热能曲线的关系。氧化镁MgO化合物由Mg ²⁺和O组成^2-离子通过强离子键结合在一起，可以通过在高温（700-1500°C）下热解氢氧化镁Mg（OH） ²和MgCO ³（碳酸镁）来合成。它对于耐火和电气应用更为方便。同样，银的抗菌upshots银纳米尺寸的颗粒可以使用在多种应用中，诸如牙科工作，烧伤和创伤治疗，手术应用和生物医学装置来管理的细菌生长。