Fractional modelling of Pennes’ bioheat transfer equation

A new mathematical model for Pennes’ bioheat equation using the methodology of fractional calculus was constructed. The thermal behavior in living tissue subjected to instantaneous surface heating was investigated. Numerical calculations were performed to study the temperature transients in the skin exposed to instantaneous surface heating. Some comparisons were shown in figures to estimate the effect the fractional order parameter α on the thermal wave. In this novel theory, the fractional parameter α is an indicator of bioheat efficiency in living tissues.

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