%A Xiuwei YIN %T AN INTEGRATION BY PARTS FORMULA FOR STOCHASTIC HEAT EQUATIONS WITH FRACTIONAL NOISE* %0 Journal Article %D 2023 %J 数学物理学报(英文版) %R 10.1007/s10473-023-0119-2 %P 349-362 %V 43 %N 1 %U {http://121.43.60.238/sxwlxbB/CN/abstract/article_16921.shtml} %8 2023-02-25 %X In this paper, we establish the integration by parts formula for the solution of fractional noise driven stochastic heat equations using the method of coupling. As an application, we also obtain the shift Harnack inequalities.