The Effects of Magnetic Casson Blood Flow in an Inclined Multi-stenosed Artery by using Caputo-Fabrizio Fractional Derivatives

This paper investigates the magnetic blood flow in an inclined multi-stenosed artery under influence of a uniformly distributed field and oscillating pressure gradient. The is modelled using non-Newtonian Casson fluid model. governing fractional differential equations are expressed by Caputo-Fabrizio derivative without singular kernel. Exact analytical solutions obtained Laplace finite Hankel transforms for both velocities. velocities particles graphically presented. It shows that velocity increases with respect to Reynolds number parameter. Meanwhile, decreases as Hartmann increases. These results useful diagnosis treatment certain medical problems.