Parametric Analysis of Space-Time Fractional Pennes Bioheat Model Using a Collocation Method Based on Radial Basis Functions and Chebyshev Polynomials

In this paper, space-time fractional Pennes bioheat model with sinusoidal heat flux condition on skin tissue is considered in Caputo sense. The model involves parameters like blood perfusion rate, specific heat, thermal conductivity, heating frequency etc. The numerical solution of the fractional bioheat model is obtained using a collocation method. The method involves a Kronecker product of two different basis functions, namely radial basis functions and Chebyshev polynomials. The heat transfer process in skin tissue is studied under the influence of space-time fractional derivatives using the presented model. The effect of various parameters, like heating frequency and thermal conductivity, on the heat transfer process is examined under fractional derivatives.