The dispersion of ferromagnetism in free convection flow can lead the magnetization process in reduction due to misalignments of the magnetic domains. In this context, an intensive viscoelastic model is subjected to the magnetization process through non-integer-order differentiation based on singular kernel. The geometry of the problem is tackled for vertical tunnel on the basis of width d saturated by porous medium in which oscillating pressure gradient is invoked. The non-fractional governing equations have been treated for dimensionality of homogeneity. The fractionalized solutions for dimensionless velocity, temperature and Nusselt number have been investigated by employing the techniques of Laplace transforms with its inversion. The magnetized mathematical model has been disseminated for the sake of physical parameters subject the variants in fractional parameter. Finally, our results have been emphasized for rheological parameter so-called Peclet number, Reynolds number, magnetic parameter, Grashof number, Prandtl number on the variants of fractional time Caputo parameter.

在自由对流中，铁磁的分散会导致磁化过程由于磁畴的未对准而减少。在这种情况下，通过基于奇异核的非整数阶微分，对强粘弹性模型进行磁化过程。在宽度d的基础上解决了垂直隧道问题的几何形状被多孔介质饱和，并在其中引起振荡压力梯度。非分数控制方程已针对同质性进行了处理。通过使用拉普拉斯变换及其反演技术研究了无量纲速度，温度和努塞尔数的分式解。磁化的数学模型是出于物理参数的原因而散布的，这些物理参数受分数参数的变化影响。最后，我们在分数时间Caputo参数的变体上强调了流变参数，即所谓的Peclet数，雷诺数，磁参数，Grashof数，Prandtl数。