浙江大学学报（理学版）2016，Vol.43Issue(4)：401-405,5.DOI:10.3785/j.issn.1008-9497.2016.04.004
混合边界条件下广义二维多项时间分数阶扩散方程的解析解
Analytical solution of the generalized muti-term time-fractional diffusion equation in two-dimensions with mixed bound-ary condition
摘要
Abstract
Generalized multi‐term time‐fractional diffusion equations have been used to describe important physical phenomena .However ,studies on multi‐term time‐fractional diffusion equations with mixed boundary conditions in high dimensional conditions are still limited .In this paper ,a method of separating variables was effectively imple‐mented to solve a generalized multi‐term time‐fractional diffusion equation (GM TDE ) in a finite domain .In this equation ,the multi‐term time‐fractional derivatives were defined in the Caputo sense ,whose orders belonged to the intervals [0 ,1] ,[1 ,2] ,respectively .The space partial derivatives were classical integer order derivatives whose order were 2 .We discussed and derived the analytical solution of the GMTDE in two dimensions meeting nonhomo‐geneous mixed boundary conditions .The technique reported can be applied to other kinds of fractional differential equations with different boundary conditions .关键词
混合边界条件/分离变量法/分数阶扩散方程Key words
mixed boundary conditions/method of separating variables/time-fractional diffusion equation分类
数理科学引用本文复制引用
王学彬..混合边界条件下广义二维多项时间分数阶扩散方程的解析解[J].浙江大学学报（理学版）,2016,43(4):401-405,5.基金项目
福建省自然科学基金资助项目（2016J01682）；福建省本科高校教育教学改革研究项目（JAS151344）；武夷学院青年教师专项科研基金（xq201022）；武夷学院质量工程项目（Jgzk201019）． （）
