A fractional model of impurity concentration and its approximate solution

This paper proposed a fractional model for the flow rate and characteristic of the impurity of order a, P(0<a, P<1) respectively, which describes one dimensional dynamical flows of electrically conducting fluid. In this model fractional derivatives are described in the Caputo sense. The beauty of the paper is residual analysis which shows that our approximate solution converges very rapidly to the exact solution. Numerical results show that the HPM is easy to implement and accurate when applied to the time fractional partial differential equation. Numerical results are presented graphically.