This paper investigates the effects of chemical reactions on MHD Casson blood flow in an inclined artery with multiple stenoses. The flow is confined by external magnetic fields and an oscillating pressure gradient. The dimensionless form of the governing equations is remodeled into
a system of time-fractional partial differential equations. For greater insight into the problems and to understand flow behavior, the Caputo time fractional derivative is used, which is also useful for representing memory effects in tissues and anomalous diffusion. The governing time-fractional differential equations are solved analytically using the Laplace transform to treat the temporal fractional derivative and finite Hankel transforms to handle the artery’s radial geometry. To better understand the effects of different physical parameters on the profiles of blood velocity, magnetic particle velocity, heat transfer, and mass transfer, numerical results are obtained and presented in the graphs. Graphs indicate that the external magnetic fields tend to delay the blood flow motions, whereas, the Casson fluid parameter has an increasing impact on it. It is also observed that the heat source parameter enhances the heat transfer process. We have noted that increasing the systolic pressure gradient from 0.5 to 1.5 raises blood flow velocity by up to 78%, and increases magnetic particle velocity by up to 85%, and that increasing the Hartmann number controls the velocity by up to 70%. In short, the novelty of the article lies in modelling MHD flow in the presence of a multi-stenosed inclined artery, with the exact solution influenced by metabolic heat generation and chemical reaction. By acknowledging the non-Newtonian nature of blood and the influence of these factors, these studies pave the way for improved diagnostic tools and treatment
strategies for cardiovascular diseases. Future research can build upon these findings by exploring potential therapeutic applications of magnetic fields or thermal interventions.