一类分数阶随机热方程解的Holder连续性  

Hoder continuity of solutions for a class of fractional order stochastic heat equations

作　　者：刘洋 吴克晴[1] 冯源 LIU Yang;WU Ke-qing;FENG Yuan(School of Science,Jiangxi University of Science and Technology,Ganzhou 341000,China)

机构地区：[1]江西理工大学理学院,江西赣州341000

出　　处：《兰州理工大学学报》2025年第2期159-165,共7页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(61364015)。

摘　　要：研究一类受噪声驱动影响的分数阶随机热方程解的Holder连续性,方程中带有分数阶微分算子和噪声随机项,利用初值条件的特性和格林函数定义了解的形式,通过Picard迭代法和Kolomogorov连续性定理得到了解的存在性和Holder连续性,给出一个例子验证了所得结果.The Holder continuity is studied of solutions to a class of fractional stochastic heat equations driven by space-time white noises.With fractional differential operators and random noise terms in the equation,the form of the solution is defined by the characteristics of the initial value conditions and the Green’s function,the existence and Holder continuity of solutions are obtained by Picard iteration method and Kolomogorov continuity theorem.An example is given to verify the results.

关 键 词：分数阶随机热方程 噪声 Green’函数 HOLDER连续性 

分 类 号：O241.82[理学—计算数学]