摘要
本文研究了一类时空的具有分数阶组合导数的分数阶扩散方程,并给出了这类方程的最值原理,并应用最值原理得到了该方程解的估计以及解的唯一性与连续依赖性.
In this paper,we consider a IBVP of space-time fractional conformable diffusion equation andgive detailed proof of the maximum principle for above equation.By using the maximum principle,we obtain estimation of solutions and the uniqueness and continuous dependence of solutions on the initial and boundary conditions.
作者
管亭亭
张松涛
GUAN Ting-ting;ZHANG Song-tao(College of Mathematies and Computer Science,Shanxi Normal University,Linfen 041000,Shanxi,China;Shanxi Linfen Industrial and Commercial Administration School,Linfen 041000,Shanxi,China)
出处
《山西师范大学学报（自然科学版）》
2021年第3期1-5,共5页
Journal of Shanxi Normal University(Natural Science Edition)
基金
国家自然基金项目(12001344).
关键词
分数阶组合导数
最值原理
解的估计
唯一性与连续依赖性
fractional conformable derivative
maximum principle
estimation of solutions
uniqueness andcontinuous dependence
