Exact solutions for the blood flow through a circular tube under the influence of a magnetic field using fractional Caputo-Fabrizio derivatives

In this work, we study the flow of both blood and magnetic particles using Caputo-Fabrizio fractional derivative model approach. The fluid flow through a circular cylinder is influenced by an external magnetic field which is perpendicular to the circular tube and an oscillating pressure gradient. Integral transforms are used to find solutions for the blood and magnetic particle velocities. Comparison of profiles of velocities for different values of α, the impact of physical variables on the dynamics of fluid and magnetic parameters are highlighted graphically.