关键词: 分数阶微积分;生物传热;有限Fourier正弦变换;拉普拉斯变换;广义Mittag-Leffler函数

Abstract:

A fractional Pennes bioheat transfer equation is established. By applying the finite Fourier sine transformation, Laplace transformation and their corresponding inverse transforms, the analytic solution of the fractional Pennes bioheat transfer equation is obtained. And the expression in the form of generalized Mittag-Leffler function is given. Finally, the integer-order as a particular case is discussed.

Key words: fractional calculus; bioheat transfer; finite Fourier sine transform; Laplace transform; generalized Mittag-Leffler function