Description:
<jats:p>This manuscript aims to investigate the velocity profile for the blood flow
through an artery subject to magnetic field. It has been investigated how
periodic acceleration of the body and slip conditions affect the irregular
pulsatile blood flow across a porous media inside an artery if a magnetic
field is present, under the assumption that blood is an incompressible
electrically conducting fluid. A mathematical formulation involving Caputo
fractional derivative serves as the basis of study. An analytical solution
for fluid velocity is developed with the help of finite Hankel and Laplace
transforms. The influence of fractional order on the fluid velocity is
illustrated with the help of graphical simulations. The obtained results
will be helpful in future research for the treatment of stenosis and other
cardiovascular diseases.</jats:p>