Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative

In this paper a new fractional thermal wave model of the bioheat transfer (FTWMBT) caused by spatial heating is built using Taylor’s series expansion of modified Riemann–Liouville fractional derivatives. A one-dimensional analytical solution of the FTWMBT in a finite medium is obtained. The FTWMBT in the case (α = 1) interpolates the standard thermal wave model of bioheat transfer and the well-known Pennes’ bioheat equation (τ = 0). Finally, numerical results are presented graphically for various values of different parameters. This study demonstrates that fractional models can provide a unified approach to examine the heat transfer in biological tissue.