中文摘要：

建立了分数阶Pennes生物传热方程,利用有限Fourier正弦变换和拉普拉斯变换及其相应的逆变换,给出了用广义Mittag-Leffler函数表示的分数阶生物传热方程的解析解。整数阶生物传热方程可作为本文的特例而被包含。

英文摘要：

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.