The current study investigates the effects of thermos-diffusion on Casson blood flow in the presence of a magnetic field. We consider the flow in an inclined multi-stenosed artery with an oscillating pressure gradient. By using the similarity transformation, the governing equations are transformed into a dimensionless form. For more effective study of the fractional time derivative, the Caputo-Fabrizio time derivative is adopted. Using the tools provided by the Laplace transform and the finite Hankel transform, the analytical solution to the aforementioned problem is derived. We gather numerical findings and display them through graphs to help you better comprehend the effects of various physical parameters. Data visualization shows that the external magnet-controlled blood flow's turbulence. These results suggest that high magnetic field impacts are harmful to health. Additionally, it is observed that thermal radiation commonly enhances the heat distribution procedure.