Fractional solution for the non-Newtonian MHD blood flow in porous artery

Fractional solution

Abstract

In this paper, the third-grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient is analytically simulated with the rational order derivative. Motivated from the recent advancement in the fractional calculus non-linear governing equations are coupled with CF (Caputo-Fabrizio) time fractional order derivative with initial and boundary conditions. Analytical time fractional expressions for velocity is presented. Imposed body acceleration is also considered with Laplace and finite Hankel transforms.