| Summary: | The electro-kinetic transport of blood flow mixed with magnetic particles in the circular channel was investigated. The flow
was subjected to an external electric and uniform magnetic field. The fluid was driven by pressure gradient and perpendicular
magnetic field to the flow direction. Due to the usefulness and suitability of Caputo–Fabrizio fractional order
derivative without singular kernel in fluid flow modeling and mass transfer phenomena, the governing equations were
modeled as Caputo–Fabrizio time fractional partial differential equations and solved for a 2 ð0; 1�. The analytical solutions
for the velocities of blood flow and magnetic particles were obtained by using Laplace, finite Hankel transforms and
Robotnov and Hartley’s functions, respectively. Mathematica software was used to simulate the influences of fractional
parameter a, Hartmann number and Reynolds number on the velocities of blood and magnetic particles. The findings are
important for controlling bio-liquids in the devices used for analysis and diagnosis in biological and medical applications.
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