A initial–boundary value problem of a biofluid influenced by a magnetic field using a fractional differential operator with non-singular kernel

Abstract

In this paper will use fractional calculus to analyse the model that describes a biofluid equipped with charged particles influenced by a magnetic field. For this purpose, the Atangana–Baleanu fractional operator in the Riemann–Liouville sense was used to solve the initial–boundary value problem. The fluid flow through a circular cylinder is influenced by a magnetic field which is perpendicular to the circular tube and an oscillating pressure gradient. Integral transforms are used to find solutions for the velocity potentials of the blood flow and its magnetic particles. Finally the effect of physical variables (Ha, R, G) on the dynamics of fluid and magnetic parameters are highlighted graphically.

Keywords

• Atangana–Baleanu fractional operator
• Magnetic field
• Blood flow
• Riemann–Liouville derivative
• Charged particles